3
QuizMultiple Choice

The Multiplication Rule for Dependent Events

Question 3 • AZ-Common Core Algebra II A

According to a recent survey of adults, 38% say the almond is their favorite nut. The adults were also asked where they lived. Of the 19% of those who responded that they live in California, 40% chose the almond as their favorite nut.Is liking almonds independent of residency?

Answer
A
Yes, P(almonds) = P(California|almonds).
B
Yes, P(almonds) = P(almonds|California).
C
No, P(almonds) ≠ P(California|almonds).
D
No, P(almond) ≠ P(almonds|California).

Explanation

For almond preference to be independent of living in California, the chance of preferring almonds should be the same for Californians as for adults overall. Those probabilities are 40% and 38%, respectively, so they are not equal. Therefore, liking almonds is not independent of residency; choice D states this comparison.

AI-written and checked against the verified answer.

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