A piggy bank contains hundred 50p coins, fifty ₹1 coins, twenty ₹2 coins and ten ₹5
coins. If it is equally likely that one of the coins will fall out when the bank is turned
upside down, the probability that the coin will not be a ₹5 coin is

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0.945

0.495

0.594

0.549

answer is A.

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Detailed Solution

It is given a piggy bank contains hundred 50p coins, fifty ₹1 coins, twenty ₹2 coins and ten ₹5 coins.
The probability of an event E is given as;

P (E) = N u m b e r o f o u t c o m e s f a v o u r a b l e t o E N u m b e r o f a l l p o s s i b l e o u t c o m e s o f t h e e x p e r i m e n t

Given, number of 50p coins in the bank = 100.
Number of ₹1 coins in the bank =50.
Number of ₹2 coins in the bank =20.
Number of ₹5 coins in the bank =10.
Total number of the coins in the bank = 100 + 50 + 20 + 10 = 180.
Therefore, the probability of getting a ₹5 coin is;