There were 70 male guests at a party. The number of men in each of four age categories is given in the table. The table also gives the probability that a man in the respective age category will keep his paper money in order of denomination. A man's wallet was retrieved and the paper money in it was kept in order of denomination. What is the probability that the wallet belonged to a male guest between the ages of 35 and 44?
A) 0.3865
B) 0.3112
C) 0.1824
D) 0.3014

Question

There were 70 male guests at a party. The number of men in each of four age categories is given in the table. The table also gives the probability that a man in the respective age category will keep his paper money in order of denomination.  A man's wallet was retrieved and the paper money in it was kept in order of denomination. What is the probability that the wallet belonged to a male guest between the ages of 35 and 44?
A) 0.3865 
B) 0.3112 
C) 0.1824 
D) 0.3014

Quizplus · Accepted Answer

The total number of male guests in the age group of 35-44 is 25 (from the table). The probability of a man in this age category keeping his paper money in order of denomination is 0.4375 (from the table). Therefore, the probability that a man's wallet retrieved with paper money in order of denomination belonged to a male guest between the ages of 35 and 44 is:
25/70 *0.4375=0.3014. Thus, the best choice is option D.

There Were 70 Male Guests at a Party