Expected gain or loss in a game of chance
This type of question, asked 6 times: 3 May 2023 S1, 10 May 2023 S1, 10 May 2024 S2, 19 Apr 2025 S2, 23 Apr 2025 S1, 19 Apr 2026 S1. All 6 questions below, oldest first.
Try each one first, then open its answer.
Question 1
3 May 2023 S1
140A person throws an unbiased die. If the number shown is even, he gains an amount equal to the number shown. If the number is odd, he loses an amount equal to the number shown. Then his expectation is Rs.Tap an option to check your answer.
Question 2
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 3
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 4
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.
Question 5
23 Apr 2025 S1
113In a game a man wins ₹ 40 if he gets 5 or 6 on a throw of a fair die and loses ₹ 20 for getting any other number on the die. If he decides to throw the die either till, he gets a five or six or to a maximum of three throws, then his expected gain/loss (in rupees) isTap an option to check your answer.
Question 6
19 Apr 2026 S1
100Consider a game of tossing a six sided fair die. If the face that comes up is , the player wins Rs. and he loses Rs. , where is the face that comes up , then the expected winning amount in this game in Rs. is...Tap an option to check your answer.