There were 80 male guests at a party. The number of men in each of four age cate

Question

There were 80 male guests at a party. The number of men in each of four age categories is given in the following table. The table also gives the probability that a man in the respective age category will keep his money in order of denomination.

A man's wallet was retrieved and paper money in it was in order of denomination. What is the probability that the wallet belonged to a male guest between the ages of 35 and 44? (Round your answer to three decimal places.)

Age Number of Men Keep Paper Money in Order, % 21-34 26 15 35-44 29 60 45-54 10 76 55 and over 15 77

Explanation / Answer

A-Event that money is in order

B-Event that man is in 35-44 age group

P(B/A) is needed=P(A&B)/P(A)=(29/80)*0.6/(26*0.15+29*0.6+10*0.76+15*0.77)/80=0.424

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