Probability of Compound Events

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

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Based on the results shown in the table, what is the experimental probability of rolling either a 4 or 5?

• A. 9/31

• B. 10/31

• C. 2/5

• D. 5/12

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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 3?

• 5/18

• 11/36

• 1/3

• 1/2

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Marli has one bag of different colored, same-size 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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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 green bead and one brown bead?

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Based on these results, what is the experimental probability of rolling either a 3 or 4?

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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 1 and heads as the outcome?

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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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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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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?

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