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A Bag Contains 7 White, 5 Black and 4 Red Balls. If Two Balls Are Drawn at Random, Find the Probability That:(I) Both the Balls Are White - Mathematics

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प्रश्न

A bag contains 7 white, 5 black and 4 red balls. If two balls are drawn at random, find the probability that both the balls are white

उत्तर

Out of 16 balls, two balls can be drawn in 16C2 ways.
∴ Total number of elementary events = 16C2 = 120

Out of seven white balls, two white balls can be chosen in 7C2 ways.
∴ Favourable number of ways = 7C2
Hence, required probability =

\[\frac{^{7}{}{C}_2}{^{16}{}{C}_2} = \frac{21}{120} = \frac{7}{40}\]

 

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पाठ 33: Probability - Exercise 33.3 [पृष्ठ ४६]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 33 Probability
Exercise 33.3 | Q 15.1 | पृष्ठ ४६

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