Question

A special promotion for its 20-ounce bottle of soda, a soft drink company printed a

Answer 1

Using the principle of binomial probability, the probability that more than 3 friends win a prize is

Recall :

• P(x = x) = nCx * p^x * q^(n-x)

Given the Parameters :

• Probability of success, p = 1/6
• q = 1 - p = 5/6
• Number of trials, n = 7
• x≥3

Hence,

P(x ≥ 3) = p(x = 3) + p(x = 4) + p(x = 5) + p(x = 6) + p(x = 7)

P(x ≥ 3) = 0.0781 + 0.0156 + 0.0019 + 0.0001 + 0.000003

P(x ≥ 3) = 0.095703

Therefore, the probability that more than 3 friends win a prize is 0.0957

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