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A bag contains 20 identical balls of which 12 are white and 8 are black in colour. 3 balls are drawn randomly without any replacement. what is the probability of picking 2 white balls and 1 black ball?

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MrRoyal

The probability of picking 2 white balls and 1 black ball is 0.154

How to determine the probability?

The given parameters are:

  • Number of balls, n = 20
  • White = 12
  • Black = 8

When each ball is selected, the total number of ball decreases by 1 and the type of ball also decreases.

So, the probability is represented as:

P(2 white and 1 black) = White/n * White - 1/n - 1 * Black//n - 2

Substitute known values

P(2 white and 1 black) = 12/20 * 11/19 * 8//18

Evaluate

P(2 white and 1 black) = 0.154

Hence, the probability of picking 2 white balls and 1 black ball is 0.154

Read more about probability at:

https://brainly.com/question/251701

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