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Ram and Shyam play a game with a coin. Ram stakes ₹ 1.00 and throws the coin 4 times. If he throws…

Mathematics20256 marksLong answer
Ram and Shyam play a game with a coin. Ram stakes ₹ 1.00 and throws the coin 4 times. If he throws 4 heads, he gets his stake and ₹ 3.00 from Shyam. If he throws only three heads and they are consecutive, he gets his stake and ₹ 2.00 from Shyam. If he throws only 2 heads and they are consecutive, he gets his stake and ₹ 1.00 from Shyam. In all other cases, Shyam takes the stake money. Is this game fair? Provide reasons for your answer.

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Probability

From ISC 2025 Practice Mathematics, question 127.