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Two coins tossed, different winnings for 2, 1, 0 heads: variance of the winning amount

The same question, asked 3 times: 10 May 2024 S1*, 25 Apr 2025 S2*, 11 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    10 May 2024 S1

    131
    Player tosses 2 fair coins: wins ₹5 (2H), ₹2 (1H), ₹1 (0H). Variance of winning amount is

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  2. Question 2

    25 Apr 2025 S2

    113
    A player tosses two coins. He wins ₹ 10, if 2 heads appear, ₹ 5, if one head appear and ₹ 2 if no head appears. Then variance of winning amount is

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  3. Question 3

    11 Apr 2026 S2

    98
    A player tosses two fair coins, he wins Rs. 55 if two heads appear, Rs. 33 if one head appears and Rs. 22 if no head appears, then the variance of the winning amount is

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