Find the probability that in 200 tosses of a fair six-sided die, a three will be obtained at least 40 times.
A) 0.1190
B) 0.8810
C) 0.0871
D) 0.3875

Question

Quizplus · Accepted Answer

The probability of getting a three in a single toss of a fair six-sided die is 1/6. The probability of getting a three at least 40 times in 200 tosses can be calculated using the binomial distribution:P(X >= 40) = 1 - P(X < 40) = 1 - sum(P(X = k) for k = 0 to 39)where X is the number of threes obtained in 200 tosses. Using a binomial calculator, we find that P(X >= 40) = 0.1190.

Find the Probability That in 200 Tosses of a Fair