M4maths Previous Puzzles

23 Sep 2010 All men probability?

3 persons have to be selected out of 4 men and 4 women. Probability that all selected persons are men is

OPtion

1) 6/19
2) 1/6
3) 2/13
4) 1/2
5) 3/4
6) 5/6
7) 1/14
8) 1/3
9) 1/4
10) 4/5

Solution

No. of methods of selecting 3 men out of 4 are 4*3*2/3*2*1 = 4
No. of methods of selecting 3 out of total 8 persons are 8*7*6/3*2*1 = 56
Hence probability = 4/56 = 1/14

Correct Option: 7 Best Solution (1)