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Question

A bag contains 3 white, 5 red and 7 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:


  1. 3/22

  2. 1/91

  3. none

  4. 1/22

  5. 2/91


Solution

The correct option is E

2/91


Let S be the sample space.

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

 = 15C3=455

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

  (E) = 5C3 = 5C2 =10

P(E) = 10455 = 291.

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