Question

The probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a video game from the store is 0.74 (event B). The probability that Edward purchases a video game (given that Greg has purchased a video game) is 0.67. Which statement is true?

A. Events A and B are independent because P(A|B) = P(A)
B. Events A and B are dependent because P(A|B) = P(A)
C. Events A and B are independent because P(A|B) = P(B)
D. Events A and B are dependent because P(A|B) P(A)

Answer 1

Easy! The answer is B!

Answer 2

Option A is correct

because P(A/B) = P(A)

Explanation:

Two events are independent if the occurrence one event does not depend on the other.

In Statistics, two events are independent if P(AB)= P(A)*P(B)

Here we are given P(A) = 0.67 and P(A/B) = 0.67

i.e. P(AB)/P(B) = 0.67

This implies P(AB) = P(A)*P(B)

Hence A and B are independent of each other.