Shanae535
contestada

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?

Respuesta :

P(A|B) says it's the probability of A given B has already occured. If they are independent, it shouldnt matter if B occured or not so if they were independent P(A|B) = P(A) but they dont, so dependent

Answer:

Step-by-step explanation:

Let A be the event that Shelly will go to a movie on Friday and B the event hat Danielle will go to a movie

P(A) = 0.78 and P(B) = 0.63

P(A/B) = 0.87

P(A/B) = [tex]\frac{P(AB)}{P(B)} =0.87[/tex]

Hence

[tex]P(AB) = 0.87*0.63[/tex]

P(AB) ≠P(A)P(B)

Hence A and B are not independent.

A and B are dependent.