If P(C) = 0.2, P(D) = 0.3, and P(C | D) = 0.4 find P(C and D).

Answer 1

To find P(C and D), we can use the formula for conditional probability:

P(C and D) = P(C | D) * P(D)

Given:
P(C) = 0.2
P(D) = 0.3
P(C | D) = 0.4

Using the formula, substituting the given values:

P(C and D) = 0.4 * 0.3

P(C and D) = 0.12

Therefore, P(C and D) is equal to 0.12.