Find the probability that in 200 tosses of a fair six-sided die, a three will be obtained at most 40 times.
A) 0.9147
B) 0.1190
C) 0.8810
D) 0.0853

Question

Quizplus · Accepted Answer

This is a binomial probability problem where the number of trials is 200, the number of successes is at most 40, and the probability of success on a single trial (rolling a three) is 1/6. The cumulative binomial probability of getting 40 or fewer successes in 200 trials can be calculated using a binomial distribution formula or a calculator with binomial probability functions. The correct answer, 0.9147, indicates that there is a 91.47% chance of rolling a three at most 40 times in 200 tosses of a fair six-sided die.

Find the Probability That in 200 Tosses of a Fair