Probability Worksheet Answers
1. In an experiment a six-sided die is rolled a number of times. The results are shown below.
Number Rolled Number of Times Rolled
1
9
2
7
3
5
4
7
5
8
6
7
Based on these results, what is the experimental probability of rolling either a 4 or 5?
A. 7/43
B. 16/43
C. 15/43
D. 5/12
2. Sam's closet contains blue and green shirts. He has eight blue shirts, and seven green shirts. Five of the blue
shirts have stripes, and four of the green shirts have stripes. What is the probability that Sam randomly chooses
a shirt that is blue or has stripes?
A.
B.
C.
D.
E.
3. Kayla has a standard deck of 52 cards and a six-sided die. What is the probability that she will pull a diamond
from the deck of cards and roll a 5?
A.
B.
C.
D.
4.
A card is randomly drawn from an ordinary deck of playing cards. What is the probability that the card is a king
or a diamond?
A.
B.
C.
D.
E.
5. Richard is conducting an experiment. Every time he flips a fair two-sided coin, he also rolls a six-sided die.
What is the probability that the coin will land on tails and the die will land on an even number?
A.
B.
C.
D.
6. Bobby is taking a multiple-choice history test. He has decided to randomly guess on the first two questions.
On each question there are 4 answer choices. What is the probability that he answers the first question correctly
and the second question incorrectly?
A.
B.
C.
D.
7. Chris has a bag of four apples. Three of the apples are red and one of them is green. He also has a bag with
two sandwiches. One of the sandwiches is ham and the other is turkey. If he reaches into both bags without
looking, what is the probability that he will grab a red apple and a ham sandwich?
A.
B.
C.
D.
8. The following balls are placed in an urn: 6 red, 3 yellow, 6 blue, and 4 green. One ball is randomly drawn
from the urn. What is the probability that the ball is either yellow or green?
A.
B.
C.
D.
9. Daniel has 1 blue pencil and 5 yellow pencils in his backpack. He also has 2 pink erasers, 4 tan erasers, and 3
gray erasers in his backpack. If Daniel randomly selects one pencil and one eraser from his backpack, what is
the probability that he will select a yellow pencil and a tan eraser?
A.
B.
C.
D.
10. Bob has a coin cup with four $1 tokens and two $5 tokens in it. He also has two $10 tokens and one $25
token in his pocket. He randomly draws a token from the cup, and then randomly draws a token from his
pocket. What is the probability that he will draw $30 in tokens?
A.
B.
C.
D.
To get $30 you need 1 - $5 token and 1 - $25 token
11.
An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. What is the
probability that the sum of the dots is 6 or 9?
A.
B.
C.
D.
12. Katie is trick or treating. The man answering the door holds out two bags. In one bag, there are 3 bars of
dark chocolate and 1 bar of white chocolate. In the other bag, there are 3 pieces of strawberry licorice, 1 piece
of cherry licorice, and 1 piece of orange licorice. If Katie gets to randomly draw one piece of candy from each
bag, what is the probability that she will get a bar of dark chocolate and a piece of cherry licorice?
A.
B.
C.
D.
13. Gretta is rolling a die and pulling a marble from a bag. There are 4 white marbles, 3 blue marbles, and 4
green marbles, all of the same size, in the bag. What is the probability that she rolls a 4 and she pulls a blue
marble from the bag?
A.
B.
C.
D.
14. Jeff has 2 red pens and 4 blue pens in his backpack. He also has 1 yellow highlighter and 4 green
highlighters in his backpack. If he reaches into his backpack and grabs one pen and one highlighter without
looking, what is the probability that he will grab a blue pen and a yellow highlighter?
A.
B.
C.
D.
15. Brandon is rolling two six-sided dice. What is the probability that one die lands on an even number and the
other die lands on an odd number?
A.
B.
C.
D.