Question

School children Nissi and Hansy play a game who have some 25paise coins and 50 paise coins. Each draw a coin from their bags without knowing others choice. If the sum of coins drawn by both is even Nissi wins them, otherwise Hansy wins. Find the best strategy for each player and also find the value of the game.​

Answer 1

Total amount in the bag = Rs. 30=3000 paise

Let the number of 50 paise coins be x

Then the number of 25 paise coins =4x

Now, according to the question

25(4x)+50x=3000

100x+50x=3000

150x=3000

x=

150

3000

x=20

4x=80

Therefore, number of 50 paise coins =20

Number of 25 paise coins =80

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