Question

Calculate the probability of obtaining at least one 6 in three throws of a standard die. Explain / Show work.

Answer 1

let X is the random variable that counts number of times 6 appears. then X will follow binomial distribution with n = 3 and p = 1/6 = 0.1667

P(1)+P(2)+P(3)P(1)+P(2)+P(3)

0.347263883889 +
0.069469446111 +
0.004632407963

= 0.421365737963

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