Question

The probability that Shelly will go to a movie (event A) on Friday is 0.78, and the probability that Danielle will go to a movie (event B) the same day is 0.63. The probability that Shelly will go to a movie, given that Danielle goes to a movie, is 0.87.

Which statement is true?
a. Events A and B are independent because P(A|B) ≠ P(A).
b. Events A and B are independent because P(A|B) = P(B).
c. Events A and B are dependent because P(A|B) = P(A) x P(B).
d. Events A and B are dependent because P(A|B) ≠ P(A).
e. Events A and B are dependent because P(A|B) = P(A).

Answer 1

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

Explanation:

plato/edmentum

Answer 2

The right answer for the question that is being asked and shown above is that: "c. Events A and B are dependent because P(A|B) = P(A) x P(B)."The probability that Shelly will go to a movie, given that Danielle goes to a movie, is 0.87.