C955 MODULE 7: PROBABILITY QUESTIONS WITH ANSWERS 2024 UPDATED (ACTUAL EXAM) GRADED 100% P, Exams of Forensics

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C955 MODULE 7: PROBABILITY

QUESTIONS WITH ANSWERS 2024

UPDATED (ACTUAL EXAM) GRADED

100% PASS.

What is the probability of someone having a birthday in March or December? a 1/ b 1/ c 1/ d 1/2 - Precise answer 1/ The table below shows the breakdown of workers at a business. What is the probability of selecting a worker who is over 45 years of age to the nearest hundredth? Age 18−25 26−44 45+ Total Male 75 200 125 400 Female 50 225 100 375 Total 125 425 225 775 a 0. b 0. c 0. d 0.55 - Precise answer 0. The table below shows the breakdown of workers at a business. What is the probability that a randomly selected 18−25 year old is male (to the nearest hundredth)? Age 18−25 26−44 45+ Total Male 75 200 125 400 Female 50 225 100 375 Total 125 425 225 775

a 0. b 0. c 0. d 0.60 - Precise answer 0. The probability that Jimmy attends school on any given day is 0.98. The probability Jimmy misses a day of school, given that he missed the day before, is 0.5. What is the probability that Jimmy misses school on BOTH Tuesday and Wednesday? a 0. b 0. c 0. d 0.04 - Precise answer 0. The following table shows the percentage of events at an arena. Basketball 26% Hockey 19% Concert 18% Table Tennis 9% Other 28% What is the disjoint probability of having a basketball or hockey game at the arena? a 27% b 37% c 45% d 55 - Precise answer 45% A game has a 10 -sided fair die. What is the probability of rolling an even number or a number less than 5? a 1/ b 3/ c 7/ d 9/10 - Precise answer 7/ A survey on favorite pizza topping was given: 33% said cheese was their favorite topping, 25% said pepperoni, 15% said sausage, and 27% said

other. If two people are picked at random and replaced, what is the probability of picking two people that like cheese? Round your answer to a whole number. a 0% b 11% c 33% d 66% - Precise answer 11% There was a marble drawn from a bag in an experiment and placed back in the bag repeatedly. A red marble appeared 45 times, a blue marble 70 times, a green marble 63 times, and a black marble 22 times. What is the empirical probability of the blue marble? a 0. b 0. c 0. d 0.35 - Precise answer 0. In a bag, there are 8 red marbles, 10 blue marbles, 9 green marbles, and 5 black marbles. Find the theoretical probability of drawing a red marble out of the bag. a 5/ b 1/ c 9/ d 5/16 - Precise answer 1/ What is the sample size for choosing an odd number between 1 and 75 , including the numbers 1 and 75? a 37 b 38 c 39 d 40 - Precise answer 38 There are black, blue, and white marbles in a bag. The probability of choosing a black marble is 0.36. The probability of choosing a black and then a white marble is 0.27. To the nearest hundredth, what is the

probability of the second marble being white if the first marble chosen is black? a 0. b 0. c 0. d 0.86 - Precise answer 0. There are 10 blue, 10 red, and 10 green labels in a bag. The labels are drawn from the bag and not replaced. What is the probability of drawing a blue first, and not blue second to the nearest percent? a 22% b 23% c 32% d 33% - Precise answer 23% The numbers 1−10 are in a bag and two are drawn without replacement. What is the probability of drawing an even number first, and a 1 second? a 1/ b 1/ c 1/ d 1/20 - Precise answer 1/ Question 14 The table below shows the breakdown of workers at a business. What is the probability of selecting a male worker to the nearest hundredth? Age 18−25 26−44 45+ Total Male 75 200 125 400 Female 50 225 100 375 Total 125 425 225 775 a 0. b 0. c 0. d 0.54 - Precise answer 0.

Using the sample space for rolling a die and flipping two coins, what is the probability for an even number and both coins in the same direction? {{ A probability tree that shows the sample size of rolling a six-sided die numbered one through six and flipping a two-sided coin labeled heads and tails. Each line of the probability tree is numbered one through six representing the six possible outcomes for rolling the die. For the 6 different branches there are twenty-four possible outcomes. There are three even numbers on the die, and for each of these branches there are two ways that the coins will flip in the same direction. }} a 1/ b 3/ c 1/ d 3/4 - Precise answer 1/ The probability of the Red Sox winning a baseball game is 0.6. The probability of losing the game is 0.4. What is the probability that the Red Sox either win or lose the game. a 0. b 0. c 0. d 1 - Precise answer 1 Use the diagram below to answer the following question. {{ Venn diagram. Intersecting circles labeled A and B. Circle A is blue, Circle B is red. }} There are high school students that are in sports ( A ) and in band ( B ). What does A and not B represent? a Sports only b Band only c Both sports and band d Neither sports nor band. - Precise answer Sports only

The diagram represents the number of people who like the flavors of ice cream ( A ) chocolate, ( B ) strawberry, ( C ) vanilla. What does A and C and not B represent? {{ Venn diagram. Intersecting circles labeled A, B, and C. Circle A is blue. Circle B is red. Circle C is green. }} a Like chocolate, vanilla, and strawberry b Like vanilla and strawberry, not chocolate c Like chocolate and vanilla, not strawberry d Like chocolate and strawberry, not vanilla - Precise answer Like chocolate and vanilla, not strawberry Four cards are chosen from a deck of 52 cards with replacement. A deck contains 13 cards each of spades, hearts, diamonds, and clubs. What is the probability that each of the four cards is a diamond? a 1/ b 1/ c 1/28, d 1/456,976 - Precise answer 1/ There are 30 different boxes of cereal to choose from. 6 boxes are red, 5 boxes are yellow, 9 boxes are blue, and 10 boxes are brown. What is the probability of not selecting a red box? a 3/ b 2/ c 4/ d 5/6 - Precise answer 4/ The table below shows the breakdown of workers at a business. What is the probability of selecting a worker aged 26−44 years to the nearest hundredth? Age 18−25 26−44 45+ Total Male 75 200 125 400 Female 50 225 100 375 Total 125 425 225 775

a 0. b 0. c 0. d 0.55 - Precise answer 0. What is the sample size for choosing an even number between 1 and 51? a 24 b 25 c 26 d 27 - Precise answer 25 Question 3 There are 30 different boxes of cereal to choose from. 6 boxes are red, 5 boxes are yellow, 9 boxes are blue, and 10 boxes are brown. What is the probability of not selecting a yellow box? a 3/ b 2/ c 4/ d 5/6 - Precise answer 5/ The diagram represents the number of people who like the flavors of ice cream ( A ) chocolate, ( B ) strawberry, ( C ) vanilla. What does A and B and not C represent? {{ Venn diagram. Intersecting circles labeled A, B, and C. Circle A is blue. Circle B is red. Circle C is green. }} a Like chocolate, vanilla, and strawberry b Like vanilla and strawberry, not chocolate c Like chocolate and vanilla, not strawberry d Like chocolate and strawberry, not vanilla - Precise answer Like chocolate and strawberry, not vanilla A survey on favorite pizza topping was given: 33% said cheese was their favorite topping, 25% said pepperoni, 15% said sausage, and 27% said other non-meat topping. If two people are chosen to state their favorite pizza topping, what is the probability that they would both choose a meat topping?

a 0% b 10% c 16% d 40% - Precise answer 16% There are 10 blue, 10 red, and 10 green labels in a bag. The labels are drawn from the bag and not replaced. What is the probability of drawing a blue first, and blue second to the nearest percent? Round your answer to the nearest whole number. a 10% b 12% c 31% d 33% - Precise answer 10% Four cards are chosen from a deck of 52 cards with replacement. In the deck, half the cards are red. What is the probability that each of the four cards is red? a 1/ b 1/ c 1/28, d 1/456,976 - Precise answer 1/ A game has a 10 -sided die. What is the probability of rolling an odd number or a number greater than 8? a 1/ b 2/ c 3/ d 4/5 - Precise answer 3/ The table below shows the breakdown of workers at a business. What is the probability that a randomly selected 26−44 year old is female? Age 18−25 26−44 45+ Total Male 75 200 125 400 Female 50 225 100 375

Total 125 425 225 775 a 0. b 0. c 0. d 0.53 - Precise answer 0. Jackie is sick. The probability that she visits the doctor's office is 0.3. The probability that she goes to the doctor's office and gets a new infection while waiting is 0.05. So, if she goes to the doctor's office, what is the probability that she gets an additional infection there? a 0. b 0. c 0. d 6 - Precise answer 0. There are white and blue marbles in a bag. The probability of choosing a white marble is 0.33. The probability of drawing a white marble first and then a blue marble second is 0.19. What is the probability to the nearest hundredth that the second marble is blue if the first marble is white? a 0. b 0. c 0. d 0.58 - Precise answer 0. The numbers 1−10 are in a bag and two are drawn without replacement. What is the probability of drawing an odd number first, and an odd number second? a 2/ b 4/ c 1/ d 3/4 - Precise answer 2/ There was a marble drawn from a bag in an experiment and placed back in the bag repeatedly. A red marble appeared 45 times, a blue marble 70 times, a green marble 63 times, and a black marble 22 times. What is the empirical probability of the green marble?

a 0. b 0. c 0. d 0.35 - Precise answer 0. The table below shows the breakdown of workers at a business. What is the probability of selecting a female worker to the nearest hundredth? Age 18−25 26−44 45+ Total Male 75 200 125 400 Female 50 225 100 375 Total 125 425 225 775 a 0. b 0. c 0. d 0.54 - Precise answer 0. The following table shows the percentage of events at an arena. Basketball 26% Hockey 19% Concert 18% Tradeshow 9% Other 28% What is the disjoint probability of having a tradeshow or concert at the arena? a 27% b 37% c 45% d 55% - Precise answer 27% The probability of losing a soccer match is 0.3 and tying is 0.2. What is the probability of losing or tying the match? a 0. b 0. c 0. d 0.5 - Precise answer 0.

In a bag, there are 8 red marbles, 10 blue marbles, 9 green marbles, and 5 black marbles. Find the theoretical probability of drawing a black marble out of the bag. a 5/ b 1/ c 9/ d 5/16 - Precise answer 5/ Using the sample space for rolling a die and flipping two coins, what is the probability that the coins land on different faces? {{ A probability tree that shows the sample size of rolling a six-sided die numbered one through six and flipping a two-sided coin labeled heads and tails. Each line of the probability tree is numbered one through six representing the six possible outcomes for rolling the die. For the 6 different branches there are twenty-four possible outcomes. There are three even numbers on the die, and for each of these branches there are two ways that the coins will flip in different directions. }} a 1/ b 3/ c 1/ d 3/4 - Precise answer 1/ Use the diagram below to answer the following question. {{ Venn diagram. Intersecting circles labeled A and B. Circle A is blue. Circle B is red. }} There are high school students that are in sports (A) and in band (B). What does A and B represent? a Sports only b Band only c Both sports and band d Neither sports nor band. e Either sports or band - Precise answer Both sports and band What is the probability of someone having a birthday in May, June, or July?

a 1/ b 1/ c 1/ d 1/2 - Precise answer 1/ If the probability of event E is 4/9, the probability of the complement of E is 5/9. a) True b) False - Precise answer True Angelique wants to go on a vacation, but she's anxious about whether or not she's going to get a year-end bonus at work. She knows that she is less likely to get a bonus if she doesn't meet her sales target. She has a 5.88% chance of missing her sales target, and 60% of associates who miss their targets do not receive a bonus. What is Angelique's probability of missing her sales target, and subsequently not receiving a bonus? a) 1.32% b) 1.98% c) 2.35% d) 3.5% - Precise answer 3.5% In asking the question "what is the probability Jake will hit a home run on Saturday?," "hitting a home run" would be called... a) the event b) the probability c) the sample space d) the complement e) disjoint - Precise answer the event Suppose the probability of having a girl is 50%. If a study finds that the probability of being interested in sports if you are a girl is 60%, what is the probability of parents giving birth to a girl who is interested in sports? a) 30% b) 55% c) 80% d) 110% - Precise answer 30%

On any given day the probability that Zoren will drive past the local bakery is 1/3. If he has enough money, then he will stop to buy a tasty treat. Fortunately, the probability that he has enough money is 4/5. Assuming that the events in question are independent, find the probability that on a given day Zoren will buy a tasty treat from the local bakery. a) 1/ b) 4/ c) 11/ d) 1 - Precise answer 4/ In a bag, there are 3 yellow, 4 green, and 2 blue marbles. What is the probability of choosing a green marble? a) 3/ b) 4/ c) 4/ d) 2/ e) 1/3 - Precise answer 4/ A man will have enough money to pay the rent if he gets 100 hours of work at job A or if his wife earns enough money to pay the rent for both of them. If we want to find the probability that this couple will be able to pay the rent, what is the relevant piece of information to know when deciding whether to use the formula P(A or B) =P(A)+P(B) or P(A or B) =P(A)+P(B)−P(A and B) ? a) Whether there is any possibility of his wife earning enough money and his getting 100 hours of work at job A. b) Whether his getting 100 hours of work at job A is independent of his wife's ability to pay for the rent. c) Whether there is more probability of his getting 100 hours of work at job A or his wife's being able to earn the money to pay the rent. d) Whether his getting 100 hours of work at job A is the complement of his wife's being able to earn the money to pay the rent. - Precise answer Whether there is any possibility of his wife earning enough money and his getting 100 hours of work at job A.

According to Urban Institute, in 2014, a family-of-three with an income of $ through $30,000 is considered poor or near-poor; $30,000 through $50, is considered lower middle class; $50,000 to $100,000 is considered middle class; $100,000 to $350,000 is considered upper middle class and $350,000 and above is considered rich. If Event A is being lower middle class, which of the following is a true statement? a) "not A" is a family-of-three with an income of $350,000 or above b) The complement of A is a family-of-three with an income of $350,000 or above c) A is independent of the other categories of income d) The universe of incomes for a family-of-three is poor and near-poor, lower middle class, middle class, upper middle class, and rich - Precise answer The universe of incomes for a family-of-three is poor and near- poor, lower middle class, middle class, upper middle class, and rich There are 2 suits of cards, spades and clubs, and 13 cards in each suit, numbered 2 through 10 inclusive as well as a jack, queen, king and ace. What is the probability that someone pulls a spade that is NOT a jack, queen, king or ace? a) 4/ b) 10/ c) 9/ d) 4/26 - Precise answer 9/ Roger has two blue ties, one red tie, two blue coats, and two orange coats. What is the probability that he wears either a blue tie or a blue coat? a) 2/ b) 5/ c) 1/ d) 1/3 - Precise answer 5/ Two events that cannot happen simultaneously in the same experiment are called disjoint. a) True b) False - Precise answer True

At a restaurant for lunch, there are 4 sandwich choices, 6 side choices, and 8 drink choices. What is the size of the sample space if one choice is selected from each? a) 24 b) 32 c) 164 d) 192 - Precise answer 192 The following diagram shows the color shirt worn with hat and pants. {{ A probability tree that shows the color shirt worn with hat and pants. There are three options for color shirt, red, green and blue. There are two options for color hat, striped or plain. There are three options for wearing a plain hat; out of these three options there is an option to wear it with either shorts or jeans. }} What is the size of the event for wearing a plain hat with jeans? a) 1 b) 2 c) 3 d) 4 - Precise answer 3 The following table shows the number of individuals surveyed with a college degree. Male Female Total Bachelor's 175 125 300 Master's 125 75 200 Total 300 200 500 What is the probability of a male with a Bachelor's being selected randomly from the males? a) 1/ b) 5/ c) 7/ d) 11/12 - Precise answer 7/

The following table shows the number of individuals surveyed with a college degree. Male Female Total Bachelor's 175 125 300 Master's 125 75 200 Total 300 200 500 What is the probability of a female with a Master's being selected randomly from the total? a) 1/ b) 3/ c) 7/ d) 9/20 - Precise answer 3/ For each day in New England, the probability that it is mostly cloudy is 0.

. Cindi is planning to go leaf watching, and her friend will join her with probability 0.70. Find the probability that when Cindi takes her trip, either Cindi's friend does not join her, or she does join her but it is mostly cloudy. Assume that her friend joining her is independent of the weather conditions. a) 0. b) 0. c) 0. d) 0.703 - Precise answer 0. The numbers 1 through 20 are in a bag. What is the probability of drawing a 6 first, then an even number without replacement? a) 9/ b) 9/ c) 9/ d) 9/190 - Precise answer 9/ Match the correct formula to the following situation. Keri can get to work on time when the trains are running or when her car is working. Let A= the trains are running and B= her car is working.

a) P(A and B)=P(A)×P(B - Precise answer A) b) P(A or B)=P(A)+P(B) c) P(A and B)=P(A)×P(B) d) P(A or B)=P(A)+P(B)−P(A and B)|P(A or B)=P(A)+P(B)−P(A and B) Match the following event to the appropriate area of the Venn diagram. Sami is between 20 and 22 and got married 1 year ago. Let A= Being between 20 and 45 years old. Let B= having a significant romantic relationship (including marriage). {{ The intersection of A and B }} a) Area A but not B b) Area A and B c) Area B, but not A d) Area not A or B - Precise answer Area A and B Match the following event to the appropriate area of the Venn diagram. Jeraldine is 50 and has been married for 20 years. Let A= Being between 20 and 45 years old. Let B= having a significant romantic relationship (including marriage). {{ The intersection of A and B }} a) Area A but not B b) Area A and B c) Area B, but not A d) Area not A or B - Precise answer Area B, but not A