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 =
\[\frac{^{7}{}{C}_2}{^{16}{}{C}_2} = \frac{21}{120} = \frac{7}{40}\]
Concept: Random Experiments
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