Question

A and B are events with P( Aˉ ∣B)=0.1,P( Bˉ ∣ Aˉ )=0.2, and P(B)=0.6. Find P(A)

Answer 1

To find P(A), use the formula for conditional probability and substitute the given values.

Step-by-step explanation:

To find P(A), we need to use the formula for conditional probability, which is:

P(A|B) = P(A and B) / P(B)

Given that P(A')|B) = 0.1, P(B'|A') = 0.2, and P(B) = 0.6, we can rearrange the formula to solve for P(A):

P(A and B) = P(A|B) * P(B)

P(A) = P(A and B) / P(B)

Substituting the given values, we get:

P(A) = 0.1 * 0.6 / 0.6 = 0.1