Most Americans, 65% in fact, say frequent hand washing is the best way to fend o

Question

Most Americans, 65% in fact, say frequent hand washing is the best way to fend off the flu. Despite that, when using ublic restrooms, women wash their hands only 62% of the time and men wash only 47% of the time. Of the adults using the publi restroom at a large grocery chain store, 55% are women. What is the probability that the next person to enter the restroom in the store washes his or her hands? Most Americans, 65% in fact, say frequent hand washing is the best way to fend off the flu. Despite that, when using ublic restrooms, women wash their hands only 62% of the time and men wash only 47% of the time. Of the adults using the publi restroom at a large grocery chain store, 55% are women. What is the probability that the next person to enter the restroom in the store washes his or her hands?

Explanation / Answer

Let

H = washes hand
W = women
M = men

Hence, by Bayes' Rule,

P(H) = P(M) P(H|M) + P(W) P(H|W) = (1-0.55)*0.47 + 0.55*0.62 = 0.5525 [ANSWER]

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