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)* P((B)/(A))`

Solving for the probability of A:

`P(A)=(P(A\wedge B))/(P((B)/(A)))`

Replacing the known values:

`P(A)=((33)/(100))/((3)/(5))`

Solving the operations:

`P(A)=0.55`

Therefore the probability of A is 55%