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?
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).

Answer 1

According to the fact than tennis (A) and golf (B) turnaments don't rely on each other, this formula that I have attached can help you to figure it out. 
The right answer is A. Events A and B are independent because P(A and B) = P(A) P(B).

$Let: P = probability Let: P(A and B) = joint probability So, P(A and B) = P(A^B) = P(A) * P(B) = (0.75) * (0.64) = 0.48$