Given that P(A) = 0.5, P(B) = 0.6, and P(A and B) = 0.30, determine P(A|B)
??
P(A|B)= P(A and B)/P(B)
= .3/.6 = 1/2
still confusing to me why you would divide by P(B)....
To determine P(A|B), we can use the formula for conditional probability:
P(A|B) = P(A and B) / P(B)
Given that P(A and B) = 0.30 and P(B) = 0.6, we can substitute these values into the formula:
P(A|B) = 0.30 / 0.6
Dividing 0.30 by 0.6, we get:
P(A|B) = 0.50
Therefore, P(A|B) is equal to 0.50 or 50%.