Question

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is divisible by 3". Let B be the event "the outcome is prime". Find P(AİB). Outcome Probability 1 0.6 2 0.1 3 0.3

Answer 1

The formula for the probability of P(A|B) is,

$P(A|B)=\frac{P(A\text{ and B)}}{P(B)}$

The value of P(A and B) is 0.3.

The value of P(B) is 0.4.

Substitute the values in the formula to obtain the value of P(A|B).

$\begin{gathered} P(A|B)=\frac{0.3}{0.4} \\ =\frac{3}{4} \end{gathered}$

So answer is 3/4.