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There is a bag which contains balls of three colours. 7 balls of blue colour, 6 balls of white colour and 3 balls of red colour. 5 balls are drawn at random. What is the probability that all the drawn balls are white in colour?

There is a bag which contains balls of three colours. 7 balls of blue colour, 6 balls of white colour and 3 balls of red colour. 5 balls are drawn at random. What is the probability that all the drawn balls are white in colour? Correct Answer 1 / 728

GIVEN:

There is a bag which contains balls of three colours. 7 balls of blue colour, 6 balls of white colour and 3 balls of red colour.

CONCEPT:

Number of ways to select ‘a’ out of ‘b’ = bCa

Probability = Number of favorable case / Total cases

CALCULATION:

Total number of balls = 7 + 6 + 3 = 16

Selecting 5 balls out of 16 balls of the bag = 16C5

Selecting 5 balls out of 6 white balls = 6C5

∴ Required probability = 6C5 / 16C5

⇒ 6 / 4368

⇒ 1 / 728

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