Question

A women-only gym has 60% of its members married. 75% of the married women exercise in the morning and 30% of the single women exercise in the morning. Find the probability of being married if you go to the gym in the morning.

Answer 1

P(married | morning) = P(married ∩ morning) / P(morning) = 0.6*0.75 / (0.6*0.75 + 0.4*0.3) = 15/19 = 0.7895 = 78.95%