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A bag contains twenty Rs 5 coins, fifty Rs 2 coins and thirty Re 1 coins. If it is equally likely that one of the coins will fall down when the bag is turned upside down - Mathematics

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Question

A bag contains twenty Rs 5 coins, fifty Rs 2 coins and thirty Re 1 coins. If it is equally likely that one of the coins will fall down when the bag is turned upside down, what is the probability that the coin will neither be a Rs 5 coin nor be a Re 1 coin?

Sum
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Solution

Total number of coins = 20 + 50 + 30 = 100 

Total possible outcomes = 100 = n(S) 

Number of favorable outcomes for neither Re 1 nor Rs 5 coins = Number of favorable outcomes for Rs 2 coins = 50 = n(E) 

Probability (neither Re 1 nor Rs 5 coin) = `(n(E))/(n(S)) = 50/100 = 1/2`

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