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24 January, 00:22

The probability of rolling a sum of 7 when rolling two dice simultaneously is. 167. You decide to test that probability by rolling the dice 12 times. What is the probability of rolling exactly 2 sums of 7?

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  1. 24 January, 01:46
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    0.296

    Step-by-step explanation:

    Binomial probability:

    P = nCr pʳ qⁿ⁻ʳ

    where n is the number of trials,

    r is the number of successes,

    p is the probability of success,

    and q is the probability of failure (1-p).

    P = ₁₂C₂ (0.167) ² (1-0.167) ¹²⁻²

    P = 66 (0.167) ² (0.833) ¹⁰

    P = 0.296
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