Tickets numbered 1 to 37 are mixed up and then a ticket is drawn at random. What is the probability

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23 Nov 2020 PROBABILITY

Tickets numbered 1 to 37 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 10?

OPtion

1. 11/37
2. 37/11
3. 12/37
4. 37/12
5. 11/12
6. 10/37
7. 37/10
8. 4/10
9. 10/4
10. None of the above

Solution

Here, S = {1, 2, 3, 4, ...., 36,37}.
Let E = event of getting a multiple of 4 or 10
= {4,8,12,16,20,24,28,32,36,10, 30}.
P(E) = n(E)/n(S) = 11/37

Correct Option: 1 Best Solution (2)