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A bag contains 5 five-rupee coins, 8 two-rupee coins and 7 one-rupee coins. If four coins are drawn from the bag at random, then find the odds in favour of the draw yielding the maximum possible amount.
a.1:968
b.968:969          
c.1:969
d.969:968

1 Answer

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Maximum amount comes when all four coins are of $Rs.5$.

Probability of getting maximum amount = $\frac{5}{20}*\frac{4}{19}*\frac{3}{18}*\frac{2}{17} = \frac{1}{969}$

Odds in favour $= \frac{1}{969-1} = 1:968$

Hence, option (A) ticked.

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