Calculate each probability, given that P(A)=0.5, P(B)=0.4, and P(A and B)=0.1. P(A|B)
P(A|B) is the probability of A occurring given that B has already occurred.
We can use the formula:
P(A|B) = P(A and B) / P(B)
Substituting the given values:
P(A|B) = 0.1 / 0.4
P(A|B) = 0.25
Therefore, the probability of A occurring given that B has already occurred is 0.25.
To calculate the conditional probability P(A|B), you can use the formula:
P(A|B) = P(A and B) / P(B)
Given that P(A and B) = 0.1 and P(B) = 0.4, we can substitute these values into the formula:
P(A|B) = 0.1 / 0.4
P(A|B) = 0.25
Therefore, the probability of event A occurring given that event B has occurred (P(A|B)) is 0.25.