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

Answer:

0.30

Step-by-step explanation:

By the conditional probability formula,

$P(\frac{C}{D})=\frac{P(C\cap D)}{P(D)}$

We have,

P(D) = 0.5  and P(C / D) = 0.6

By substituting the values,

$0.6=\frac{P(C\cap D)}{0.5}$

$\implies P(C\cap D) = 0.6\times 0.5 = 0.30$

Hence, P(C and D) is 0.30.