Question

select the correct answer
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 dependent because p(a|b) = p(a)
b. events a and b are independent because p(a|b) = p(a)
c. events a and b are dependent because p(a|b) ≠ p(a)
d. events a and b are independent because p(a|b) = p(b)

Explanation:

Step1: Recall independence condition

Two events $A$ and $B$ are independent if $P(A|B)=P(A)$.

Step2: Identify given probabilities

$P(A) = 0.67$, $P(B)=0.74$, $P(A|B)=0.67$.

Answer:

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