Question

According to the general equation for conditional probability, if P(A^B)= 3/10 and P(B)= 2/5 what is P(A|B)?

Answer 1

P(A/B)=
`{(3)/(4)}`

Explanation:

According to the general equation for conditional probability, if P(A^B)= 3/10 and P(B)= 2/5

P(A∩B) = 3/10

P(B)= 2/5

We need to find P(A/B)

the formula is P(A/B) = P(A∩B)/ P(B)

Plug in the given values

P(A/B)=
`((3)/(10) )/((2)/(5) )`

P(A/B)=
`{(3)/(10) * {(5)/(2)`

P(A/B)=
`{(3)/(4)}`

Answer 2

P(A/B) = P(A∩B) / P(B)

P(A/B) = (3/10) / (2/5) = 3/10 x 5/2 = 15/20 = 3/4