Question

In new yourk, it was reported that 92% of female passengers washed their hands, while only 69% of male passengers did. Sixty-one percent (61%) of passengers that travel through NY’s airport are male.

1. Three men walk out of the bathroom. What is the probability that at least one of them did not washed their hands?

2. What is the probability that a randomly selected passenger is a woman or washes their hands? Assume that 75% of all passengers wash their hands.

3. What is the probability that someone is a woman, given they washed their hands? Assume that 75% of all passengers wash their hands

4. Create a probability tree for gender and handwashing. Now find the actual probability a randomly selected passenger washes their hands at the NY airport

Answer 1