If events A and B are independent and given that P (A) = 0.6 and P (An B) = 0.12, then P (B) is equal to:
To find P(B), we can use the formula for conditional probability:
P(B|A) = P(A and B) / P(A)
Since events A and B are independent, P(B|A) = P(B). Therefore:
P(B) = P(A and B) / P(A)
Given that P(A) = 0.6 and P(A and B) = 0.12:
P(B) = 0.12 / 0.6 = 0.2
To find the probability of event B, we can use the formula for the probability of the intersection of two independent events.
Since events A and B are independent, we know that:
P(A and B) = P(A) * P(B)
We are given that:
P(A) = 0.6
P(A and B) = 0.12
Plugging these values into the formula, we get:
0.12 = 0.6 * P(B)
Simplifying the equation, we can divide both sides by 0.6:
0.12/0.6 = P(B)
0.2 = P(B)
Therefore, the probability of event B (P(B)) is equal to 0.2 or 20%.