Question

Three roommates have agreed that whoever goes to bed last must turn out the lights. Doug goes to bed last 22% of the time. When Doug goes to bed last, he forgets to turn out the lights 25% of the time. Ed goes to bed last 32% of the time. When Ed goes to bed last, he forgets to turn out the lights 10% of the time. Frank goes to bed last 46% of the time. When Frank goes to bed last, he forgets to turn out the lights 17% of the time. The lights were left on last night, what is the probability that it was Ed who forgot to turn them out?

Answer 1