Question

I need help to find the missing probability. P(A and B)=33/100P(B/A)=3/5P(A)=?

Answer 1

we are given the probability of A and B and the conditional probability B/A. We can use the following formula to determine the probability of A:

$P(A\wedge B)=P(A)\times P(\frac{B}{A})$

Solving for the probability of A:

$P(A)=\frac{P(A\wedge B)}{P(\frac{B}{A})}$

Replacing the known values:

$P(A)=\frac{\frac{33}{100}}{\frac{3}{5}}$

Solving the operations:

$P(A)=0.55$

Therefore the probability of A is 55%