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JEE Main202315 Apr 2023Morning ShiftMathematicsProbabilityActual

A bag contains 6 white and 4 black balls. A die is rolled once and the number of balls equal to the number obtained on the die are drawn from the bag at random. The probability that all the balls drawn are white is

Options

  1. A1 4
  2. B11 50
  3. C1 5
  4. D9 50

Correct answer

C. 1 5

Step-by-step solution

Given, Bag have 6 white and 4 black balls Now also given die is rolled and the number denotes the number of ball drawn from the bag, So, probability all drawn balls are white will be, = 1 6 C 1 6 C 1 10 + C 2 6 C 2 10 + C 3 6 C 3 10 + C 4 6 C 4 10 + C 5 6 C 5 10 + C 6 6 C 6 10 = 1 6 6 10 + 15 45 + 20 120 + 15 210 + 6 252 + 1 210 = 504 2520 = 1 5

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