The tickets numbered from 99 to 116 are mixed up and then a ticket is drawn at random. What is the p

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09 Dec 2019 Probability

The tickets numbered from 99 to 116 are mixed up and then a ticket is drawn at random. What is the probability that the ticket has a number which is a multiple of 3 or 5?

OPtion

1) 7/16
2) 9/16
3) 7/17
4) 8/17
5) 9/17
6) 10/17
7) 1/2
8) 8/18
9) 7/18
10) None of these

Solution

Multiple of 3: 99, 102, 105, 108, 111, 114
Count = 6
Multiples of 5 which are not multiples of 3 = 100, 110, 115
Count = 3
Total = 6+3 = 9

Total numbers between 99 and 116 = 18

Probability = 9/18 = 1/2

Correct Option: 7 Best Solution (1)