Question

Consider the following scenario:

• Let P(C) = 0.4
• Let P(D) = 0.5
• Let P(C | D) = 0.6

Find P(C AND D).

Answer 1

You don't need to use info for p(C)

Answer 2

0.30

Explanation:

By the conditional probability formula,

`P((C)/(D))=(P(C\cap D))/(P(D))`

We have,

P(D) = 0.5 and P(C / D) = 0.6

By substituting the values,

`0.6=(P(C\cap D))/(0.5)`

`\implies P(C\cap D) = 0.6* 0.5 = 0.30`

Hence, P(C and D) is 0.30.