Question

Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probability that all the three balls are red is

Options :

  1. 1/72

  2. 1/55

  3. 1/36

  4. 1/27

Show Answer

Answer :

1/55

Solution :

Red balls = 4, Green balls = 4, Blue balls = 4

Total balls = 12

The probability that all three balls are red:

The way of selecting all the three red balls out of four red balls = 4C3

The ways of selecting 3 balls out of 12 balls = 12C3

P = 4C/ 12C3

   = 4/2x11x10 = 1/55

Report
More Similar Tests

Related Tests