Question

Suppose P(C) = 0.048, P(M AND C) = 0.044, and P(M OR C) = 0.524. Find P(M). (Hint: Start with the formula for P(M OR C)).

Answer 1

To calculate the probability of event M (P(M)), we use the formula for the probability of the union of two events and the given probabilities, resulting in P(M) = 0.520.

Step-by-step explanation:

To find the probability of event M given P(C) = 0.048, P(M AND C) = 0.044, and P(M OR C) = 0.524, we use the formula for the probability of the union of two events:

P(M OR C) = P(M) + P(C) − P(M AND C)

Plugging the given values into this formula, we get:

0.524 = P(M) + 0.048 − 0.044

By solving the equation for P(M), we find:

P(M) = 0.524 − 0.048 + 0.044

P(M) = 0.520

Thus, the probability of event M is 0.520.