7
QuizMultiple Choice

Applications of Probability — Test

Question 7 • Geometry

Which statement is true about whether Z and B are independent events?

Answer
A
Z and B are not independent events because P times open paren Z divides B close paren is not equal to P times B .
B
Z and B are independent events because P times open paren Z divides B close paren is equal to P times B .
C
Z and B are not independent events because P times open paren Z divides B close paren is not equal to P times Z .
D
Z and B are independent events because P times open paren Z divides B close paren is equal to P times Z .

Explanation

For events Z and B to be independent, knowing that B occurred must not change the probability of Z. In symbols, this means P(Z given B) = P(Z). So the true statement is that Z and B are independent when those probabilities are equal.

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