Probability
1. Gary has 1 red apple, 2 green apples, and 3 yellow apples in a sack. He also has 3 packages of peanuts, 1 package of almonds, and 2 packages of cashews in another sack. If he reaches into each sack without looking, what is the probability that he will grab a yellow apple and a package of almonds?
2. June is making a necklace for her friend out of beads. There is a one jar containing 1 blue bead and 5 green beads, and another jar containing 1 yellow bead and 3 brown beads. If she reaches in without looking and draws a bead from each jar, what is the probability that she will draw one blue bead and one yellow bead?
3. 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 pink eraser?
4. 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 white chocolate and a piece of orange licorice?
5. There are two jars. One jar contains 2 red gumballs, 3 green gumballs, and 1 yellow gumball. The other jar contains 2 blue balloons and 3 purple balloons. Jeff randomly draws one gumball and then one balloon. What is the probability that he will draw a yellow gumball and a purple balloon?

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6. 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 turkey sandwich?

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7. 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?

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8. An experiment is broken up into two parts. In the first part of the experiment a penny is tossed in the air. If the coin lands on heads, then the coin is flipped a second time. If the coin lands on tails, then a sixsided die is rolled. What is the probability of getting two tails?

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9. There are 2 red gumdrops and 3 green gumdrops in a small jar. Also, 4 pieces of butterscotch candy and 1 piece of cinnamon candy are in another jar. If Craig draws one piece of candy from each jar without looking, what's the probability that he will get a red gumdrop and a piece of cinnamon candy?

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10.
An experiment is broken up into two parts. In the first part of the experiment, a six sided die is rolled. In the second part of the experiment, a dime is tossed in the air. What is the probability of getting a 3 and tails as the outcome?

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11. Todd forgot the first two numbers of his locker combination. The numbers can be any number 1 through 6. What is the probability that he will guess the first number incorrectly and the second number incorrectly?

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12. Bobby is taking a multiplechoice 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 incorrectly and the second question incorrectly?

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13. A single sixsided die is rolled twice. What is the probability of rolling an odd number on the first roll and an even number on the second roll?

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14. There are two jars. One jar has 2 orange marbles and 3 red marbles. The other jar has 1 blue marble and 4 green marbles. If Jeff randomly draws one marble from each jar, what is the probability that he will draw a red marble and a blue marble?

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15. 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 $26 in tokens?

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16.
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 7 or 11?

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17. A parking lot has seventy parking spaces numbered from 1 to 70. There are no cars in the parking lot when Jillian pulls in and randomly parks. What is the probability that the number on the parking space where she parks is greater than or equal to 30?

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18. The following balls are placed in an urn: 6 red, 4 yellow, 5 blue, and 3 green. One ball is randomly drawn from the urn. What is the probability that the ball is either yellow or green?

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19.
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 divisible by 4?

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20. In an experiment a sixsided die is rolled a number of times. The results are shown below.
Number Rolled

Number of Times Rolled

1

8

2

4

3

5

4

9

5

6

6

5

Based on these results, what is the experimental probability of rolling either a 2 or 3?
21.
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?

0.31


B. 0.53


C. 0.33


D. 0.35


E. 0.13

22. 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. 0.33


B. 0.8


C. 0.69


D. 1.46


E. 0.27

23. David wants to rent a movie. He wants to watch either a comedy or a drama. The movie rental store has 18 comedies and dramas available for rent. Seven of the movies are comedies, and eleven of the movies are dramas. David has not seen two of the comedies, and he has not seen four of the dramas. If David selects a movie randomly, what is the probability the the movie will be a comedy or a movie that he has not seen?

A. 0.44


B. 0.39


C. 0.61


D. 0.83


E. 0.56

24. In a group of 294 students, 130 are seniors and 121 are males. Exactly onehalf of seniors are females. If a student is randomly selected, what is the probability that the student is a senior or a female?

A. 0.63


B. 0.22


C. 0.81


D. 0.59


E. 1.25

25. The contingency table below gives the counts of students by activities and gender.

Band

Sports

Debate

Total

Male

105

320

7

432

Female

105

160

14

279

Total

210

480

21

711

If a student is randomly selected, what is the probability that a student is female or plays sports?

A. 0.16


B. 0.74


C. 0.84


D. 0.26


E. 1.3

26. Harold has one bag of differentcolored, samesize chips and one bag of differentcolored, samesize marbles. In the first bag there are 4 blue chips, 5 red chips, and 3 black chips. In the second bag there are 5 green marbles, 4 blue marbles, and 3 red marbles. What is the probability that he will pull a blue chip and a blue marble from the bags?

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27. Frank is conducting an experiment. He has one bag of different colored, samesize chips and one bag of ten samesize chips numbered 110. In the first bag there are 4 blue chips, 5 red chips, and 3 black chips. If he pulls one chip out of each bag, what is the probability that he will pull a black chip and an even number?

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28. Sarah has one bag of ten samesize chips numbered 110 and one sixsided die. What is the probability that she will pull an odd number from the bag and roll an odd number on the die?

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29. Richard conducting an experiment. Every time he flips a fair twosided coin, he also rolls a sixsided die. What is the probability that the coin will land on tails and the die will land on an even number?

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30. Johan conducting an experiment. Every time he flips a fair twosided coin, he also rolls a sixsided die. What is the probability that the coin will land on either heads or tails and the die will land on an even number?

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31. Julia conducting an experiment. Every time she flips a fair twosided coin, she also rolls a sixsided die. What is the probability that the coin will land on heads and the die will land on a number?

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32. Holly is flipping a coin and pulling a marble from a bag. There are 4 white marbles, 2 blue marbles, and 5 green marbles, all of the same size, in the bag. What is the probability that the coin lands on heads and she pulls a green marble from the bag?

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33. Audrey has a bag of similarsized red and green grapes. There are 12 red grapes and 13 green grapes in the bag. If the first 7 grapes she ate were green what is the probability that the 8^{th} grapes she eats is green and the 9^{th} grape she eats is red?

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34. Marli has one bag of different colored, samesize chips. There are 4 blue chips, 5 red chips, and 3 black chips. What is the probability that she will pull a blue chip and without replacement pull another blue chip?

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35. Brandon is rolling two sixsided dice. What is the probability that one die lands on an even number and the other die lands on an odd number?

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36. Doreen is flipping two fair coins. What is the probability that both coins land on heads?

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37. Mark has a standard deck of 52 cards and a fair twosided coin. What is the probability that he will pull a jack from the deck of cards and toss the coin to land on heads?

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38. 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?

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39. Kayla has a standard deck of 52 cards and a sixsided die. What is the probability that she will pull a diamond from the deck of cards and roll a 2?

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40. Courtney and Alan are conducting an experiment. Every time Courtney flips a fair twosided coin, Alan rolls a sixsided die. What is the probability that the coin will land on heads and the die will land on 2?

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