Question

The probability a person in the population does yoga is 0.07. The probability the person is male is 0.49. Assume whether a person does yoga is independent of whether the person is male. What is the probability the person is male given the person does yoga

Answer 1

Answer:

0.49

Step-by-step explanation:

Let the probability that a person does yoga be P(Y) = 0.07

Let the probability that a person is male = P(M) = 0.49

If the probability that person does yoga is independent of whether the person is male, then the conditional probability

P(Y|M) = P(Y) and P(M|Y) = P(M)

P(M|Y) = P(M) = 0.49

Answer 2

Answer: 0.49

Step-by-step explanation: let the P(Y) be the probability that the person does yoga = 0.07 and let P(M) be the probability that the person is a male = 0.49.

We need to get the probability that the person is a male given that he does yoga.

This simply implies that the 2 events will occur assuming that one has already occurred.

For this case, the person has already done yoga, hence we need the probability that the person is a male given that he has done yoga.

This is represented as P(M|Y) = P(M) and P(Y) / P(Y)

P(M|Y) = 0.49 × 0.07/ 0.07 = 0.49