Question

Consider two events M and N. In a particular experiment, there are 5 outcomes that belong to both M and N, and 25 outcomes that belong to N. What is P(M|N) for the experiment?

a) 0.2
b) 0.25
c) 0.125
d) 0.5

Answer 1

To calculate P(M|N), we use the formula P(M|N) = P(M and N) / P(N). Using the given values, we find that P(M|N) = 0.2.

Step-by-step explanation:

To calculate P(M|N), we need to use the conditional probability formula: P(M|N) = P(M and N) / P(N). Given that there are 5 outcomes that belong to both M and N, and 25 outcomes that belong to N, we can substitute these values into the formula. P(M|N) = 5 / 25 = 0.2. Therefore, the correct answer is a) 0.2.