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Find the probability of getting both red balls, when from a bag containing 5 red and 4 black balls, two balls are drawn, without replacement - Mathematics and Statistics

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प्रश्न

Find the probability of getting both red balls, when from a bag containing 5 red and 4 black balls, two balls are drawn, without replacement

बेरीज

उत्तर

There are 9 balls i.e. 5 red and 4 black.

When balls are drawn without replacement, first ball can be drawn in 9 ways.

After that second ball can be drawn in 8

 ∴ n(S) = 9 × 8 = 72

First red ball can be drawn in 5 ways

∵ ball is not replaced, second red ball can be drawn in 4 ways

∴ two red balls can be drawn in 5 × 4 = 20 ways

∴ the required probability = `20/72` = `5/18`

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Concept of Probability
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Probability - Exercise 9.1 [पृष्ठ १९८]

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