Given that P(A) = 0.5 and P(B) = 0.3, and P(A and B) = 0.21, determine P(B|A).
P(B|A)=P(A&B)/P(A)
OH OKAY SO IT WOULD BE 0.21/0.5 = 0.42??
yes
To determine P(B|A), we need to use the conditional probability formula:
P(B|A) = P(A and B) / P(A)
Here, we are given P(A and B) = 0.21 and P(A) = 0.5. Plugging these values into the formula, we get:
P(B|A) = 0.21 / 0.5
Now, let's compute this value:
P(B|A) = 0.42
Therefore, P(B|A) is equal to 0.42.