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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

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

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#### Solution

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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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 15.1 | Page 46
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