f P(A)= 0.70 and P(B) = 0.20, then A and B are independent events if?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
For two events A and B to be independent, the probability of both events occurring together, P(A ∩ B), should be equal to the product of the probabilities of each event occurring separately. In formula terms, this is:
P(A ∩ B) = P(A) * P(B)
Given P(A) = 0.70 and P(B) = 0.20, we can multiply these probabilities to see what P(A ∩ B) would be if A and B are independent:
P(A ∩ B) = 0.70 * 0.20 = 0.14
Therefore, events A and B are independent if the probability of both events occurring together, P(A ∩ B), is equal to 0.14.