Question

Consider the following scenario: Let p(c) = 0.4. Let p(d) = 0.5. Let p(c|d) = 0.6. What is the probability of event c given event d?

1) 0.24
2) 0.30
3) 0.36
4) 0.40

Answer 1

To find the probability of event C given event D, we use the formula P(C|D) = P(C ∩ D) / P(D). Given the provided values, the probability of event C given event D is 0.6.

Step-by-step explanation:

To find the probability of event C given event D (P(C|D)), we use the formula P(C|D) = P(C ∩ D) / P(D).

Given that P(C) = 0.4, P(D) = 0.5, and P(C|D) = 0.6, we can substitute these values into the formula: P(C|D) = P(C ∩ D) / P(D).

P(C ∩ D) = P(C|D) * P(D) = 0.6 * 0.5 = 0.3.

P(C|D) = P(C ∩ D) / P(D) = 0.3 / 0.5 = 0.6.

Therefore, the probability of event C given event D is 0.6.