Question

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.
Which statement is true?

Answer 1

Given:
Probability of Roger winning a tennis tournament = 0.75 (event A)
Probability of Stephan winning a golf tournament = 0.64 (event B)
Probability of both men winning their respective tournaments is 0.48

The true statement among the choices is:

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

P(A and B) = 0.75 * 0.64 = 0.48