Calculate each probability, given that P(A)=0.3, P(B)=0.7, and A and B are independent. P(A|B)
Since A and B are independent, P(A|B) = P(A). Thus, P(A|B) = 0.3.
To calculate the probability P(A|B), we use the formula:
P(A|B) = P(A ∩ B) / P(B)
Since A and B are independent, P(A ∩ B) = P(A) * P(B). Therefore:
P(A|B) = (P(A) * P(B)) / P(B)
Substituting the given values, we have:
P(A|B) = (0.3 * 0.7) / 0.7
Simplifying the expression:
P(A|B) = 0.3
Therefore, P(A|B) is equal to 0.3.