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).

Question

Mathematics

Issac Mcbride

4 October, 02:44

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).

+4

Answers (1)

Know the Answer?

Sariah Kim · Answer 1

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.