3 coins: paid if all heads or all tails, pays otherwise: expected gain per game
The same question, asked 3 times: 10 May 2023 S1*, 10 May 2024 S2*, 19 Apr 2025 S2. Every wording below, oldest first.
Try each one first, then open its answer.
Question 1
10 May 2023 S1
107In a game, 3 coins are tossed. A person is paid ₹100, if he gets all heads or all tails; and he is supposed to pay ₹40, if he gets one head or two heads. The amount he can expect to win/lose on an average per game in (₹) isTap an option to check your answer.
Question 2
10 May 2024 S2
137In a game, 3 coins are tossed. A person is paid ₹7 if he gets all heads or all tails; and he is supposed to pay ₹3 if he gets one head or two heads. The amount he can expect to win on an average per game isTap an option to check your answer.
Question 3
19 Apr 2025 S2
123In a game, 3 coins are tossed. A person is paid ₹150 if he gets all heads or all tails and he is supposed to pay ₹50 if he gets one head or two heads. The amount he can expect to win / lose on an average per game in ₹ isTap an option to check your answer.