Multiple choice

Six balls are drawn at random from a bag containing six white, five green and four black balls. The probability that exactly 3 of them are white is

  1. 16/143

  2. 48/143

  3. 12/143

  4. 32/143

  5. 4/1001
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

It is the correct answer. Solution- Total no of balls = 15No of ways of drawing 6 balls from 15 balls randomly=15C6 No of ways of drawing 3 white balls from 6 white balls = 6C3 No of ways of drawing other 3 balls from remaining 9 balls = 9C3 Required probability=(6C3 * 9C3) / 15C6 = 48/143

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