AnswersAZ-Common Core Algebra II AThe Multiplication Rule for Independent EventsQuestion 1
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The Multiplication Rule for Independent Events

Question 1 • AZ-Common Core Algebra II A

Students in Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.8. They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9. What is the probability that the students will have their homework checked and take a pop quiz on a randomly chosen day?

Answer
A
0.48
B
0.54
C
0.72
D
0.80

Explanation

The probability of both events—homework being checked and a pop quiz being given—is the probability homework is checked multiplied by the probability of a quiz given that homework is checked. Calculate 0.8 × 0.6 = 0.48. The probability of a quiz when homework is not checked does not affect this event, so the correct choice is 0.48.

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