A bag contains 4 white 5 red and 6 blue balls Three balls are drawn at random from the bag The proba...........

Quantitative Aptitude ( CCS) Probability

A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

1/31

1/91

2/91

2/31

Let S be the sample space.

Then, n(S) = number of ways of drawing 3 balls out of 15 = 15C3

=15*14*13/3*2*1 = 455.

Let E = event of getting all the 3 red balls.

n(E) = 5C3 = 5*4/2*1 = 10.

= P(E) = n(E)/n(S) = 10/455 = 2/91.

Hence, option 3 is the correct answer.

Submit Error