The probability that Roger wins a tennis tournament is 0.75 (event A), and the probability that Stephan wins a golf tournament is 0.64 (event B). The probability that both Roger and Stephan win their respective tournaments is 0.48.

A. Events A and B are independent because P (A and B) = P (A) P (B).

B. Events A and B are independent because P (A and B) = P (A) + P (B).

C. Events A and B are dependent because P (A and B) = P (A) P (B).

D. Events A and B are dependent because P (A and B) = P (A) + P (B).

E. Events A and B are dependent because P (A and B) P (A) P (B).

Question

Mathematics

Kiera

31 December, 07:50

The probability that Roger wins a tennis tournament is 0.75 (event A), and the probability that Stephan wins a golf tournament is 0.64 (event B). The probability that both Roger and Stephan win their respective tournaments is 0.48.

A. Events A and B are independent because P (A and B) = P (A) P (B).

B. Events A and B are independent because P (A and B) = P (A) + P (B).

C. Events A and B are dependent because P (A and B) = P (A) P (B).

D. Events A and B are dependent because P (A and B) = P (A) + P (B).

E. Events A and B are dependent because P (A and B) P (A) P (B).

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Answers (1)

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Jamiya Shea · Answer 1

The first statement is correct. The two events are independent because Roger winning does not affect Stephan's chances. The probability that both events occur is found by multiplying the probabilities together.