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

M4maths Previous Puzzles

22 Dec 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) 10/37
2) 37/10
3) 13/37
4) 37/13
5) 11/37
6) 37/11
7) 12/37
8) 37/12
9) 4/37
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: 5 Best Solution (2)