The tickets numbered from 1 to 30 are mixed up and then a ticket is drawn at random. What is the pro

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27 Sep 2019 Solve

The tickets numbered from 1 to 30 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) 9/20
2) 8/30
3) 8/30
4) 9/30
5) 8/15
6) 7/150
7) 14/30
8) 1/4
9) 1/2
10) None of these

Solution

The sample space, S= (1, 2, 3, 4, 5 ...28, 29, 30) or n(S) = 30

The event "E" of getting a multiple of 3 or 5 = (3, 6, 9, 12, 15, 18, 21, 24, 27, 5, 10, 20, 25, 30) or n (E) = 14

Probability = 14/30 = 7/15

Correct Option: 7 Best Solution (4)