Question

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?

Answer 1

0.296

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