BATAAN NATIONAL HIGH SCHOOL
City of Balanga
S.Y. 2022-2023
LONG TEST
PROBABILITY
Name: _________________________ Grade and section: ______________ Date:_________________
I. Identify whether the following is mutually exclusive events, mutually inclusive events, independent events or
dependent events.
______________1. On throwing a 2 dice together, getting a sum of 6 or getting exactly two 3’s.
______________2. On tossing two coins together, getting exactly two heads or exactly two tails.
______________3. On drawing a card from a deck of 52, getting a jack or a diamond.
______________4. Getting a n even number or getting a prime number when we throw a die.
______________5. Getting a marbles in a box numbered 1 to 10 that is an even or divisible by 5.
______________6. Choosing a blue or red ball in a bag of 3 red marbles, 5 blue marbles and 7 green marbles.
______________7. Getting less than 7 or a sum equal to 10 in rolling a pair of dice.
______________8. Choosing a king card and a jack card from standard deck of 52 cards.
______________9. Choosing 2 red marbles and a green marble in a box of marble without replacing it.
______________10. Choosing 2 different cars in a car rental agency.
II. Read, analyze and answer the following questions below.
1. A drawer contains 5 red paperclips, 6 green paperclips and 4 blue paperclips. One paperclip is taken from the
drawer and then replaces. Another paperclip is taken from the drawer. What is the probability that the first
paperclip is green and the second paperclip is blue?
2. A bag contains 5 red balls, 6 green balls, and 4 blue balls. One ball is taken from the bag and NOT replaced.
Another ball is taken from the bag. What is the probability that the first ball is red and the second ball is blue?
3. A rental agency has 12 white cars, 8 gray cars, 6 red cars and 3 green cars for rent. Mr. Escobar rents a car,
returns it because the radio is broken and gets another car. What is the probability that Mr. Escobar is given a
green car and then a gray car?
4. Cedrick has 4 black pens, 3 blue pens and 2 red pens in his school bag. Cedrick randomly picks two pens out
of HS school bag. What is the probability that Cedrick chose two blue pens, if he replaced the first pen back in
his pocket before choosing a second pen?
5. A basket contains 6 apples, 6 bananas, 5 oranges and 5 guavas. Marco randomly chooses one piece of fruit,
eats it, and chooses another piece of fruit. What is the probability that he chose an orange and guava?
6. A card is chosen at random from a standard deck of 52 playing cards. Without replacing it, a second card is
chosen. What is the probability that the first card chosen is a queen and a second card chosen is a jack?
7. Four cards are chosen at random from a deck of 52 cards without replacement. What is the probability of
choosing a ten, a nine, an eight and a seven in order?
