4
lesson pretestMultiple Choice

Pretest

Question 4 • Mathematics II

If events cap A and cap b are independent, what must be true?

Answer
A
cap p times open paren cap A divides cap b close paren is equal to cap p times open paren cap b divides cap A close paren
B
cap p times open paren cap A divides cap b close paren is equal to cap p times cap b
C
cap p times cap A is equal to cap p times cap b
D
cap p times open paren cap A divides cap b close paren is equal to cap p times cap A

Explanation

For independent events, knowing that B occurred does not change the probability of A. Therefore, P(A | B) = P(A), which is the statement in choice B.

AI-written and checked against the verified answer.

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