WGU C955 Module 7 Probability Practice Test | Solved Problems, Exams of Probability and Statistics

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WGU C955 - MODULE 7; PROBABILITY FINAL

EXAM TEST LATEST UPDATE WITH 100% SOLVED

-GRADED A+ VERIFIED ANSWERS( 2026 – 2027

UPDATE)

What is the probability of someone having a birthday in March or December?

a 1/6 b 1/4 c 1/3 d 1/2 - ANS-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 0.16 b 0.29 c

d 0.55 - ANS-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 0.48 b 0.52 c

d 0.60 - ANS-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 0.01 c

d 0.04 - ANS-0.

The following table shows the percentage of events at an arena.

Basketball 26%

a 5/32 b 1/4 c 9/32 d 5/16 - ANS-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 - ANS-

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 0.27 b 0.39 c

d 0.86 - ANS-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% - ANS-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 1/2 b 1/9 c 1/ d 1/20 - ANS-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 0.46 b 0.48 c

d 0.54 - ANS-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 1/4 b 3/8 c 1/2 d 3/4 - ANS-1/

The probability of the Red Sox winning a baseball game is 0.6. The probability of losing the game is 0.. What is the probability that the Red Sox either win or lose the game.

a 0.12 b 0.24 c

d 1 - ANS-

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. - ANS-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 3/ b 2/3 c 4/ d 5/6 - ANS-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 - ANS-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% - ANS-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% - ANS-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 1/16 b 1/256 c 1/28, d 1/456,976 - ANS-1/

A game has a 10 -sided die. What is the probability of rolling an odd number or a number greater than 8 ?

a 1/5 b 2/5 c 3/5 d 4/5 - ANS-3/5 The table below shows the breakdown of workers at a business. What is the probability that a randomly selected 26− 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 0.45 b 0.47 c

d 0.53 - ANS-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 0.015 b 0.025 c

d 6 - ANS-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 0.33 b 0.39 c

d 0.58 - ANS-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 0.14 b 0. c 0.44 d 0.5 - ANS-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 1/4 c 9/ d 5/16 - ANS-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 1/4 b 3/8 c 1/2 d 3/4 - ANS-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 - ANS-Both sports and band

What is the probability of someone having a birthday in May, June, or July?

a 1/6 b 1/4 c 1/ d 1/2 - ANS-1/

If the probability of event E is 4/9, the probability of the complement of E is 5/9.

a) True b) False - ANS-True

Angelique wants to go on a vacation, but she's anxious about whether or not she's going to get a yearend 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% - ANS-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 - ANS-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% - ANS-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 - ANS-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) 1/ d) 1/3 - ANS-5/

Two events that cannot happen simultaneously in the same experiment are called disjoint.

a) True b) False - ANS-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 - ANS-

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 - ANS-

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 - ANS-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 - ANS-3/

For each day in New England, the probability that it is mostly cloudy is 0.10. 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 - ANS-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 - ANS-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 - ANS-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.