Find the probability that in 200 tosses of a fair six-sided die, a five will be obtained at most 40 times.
A)0.9131
B)0.1190
C)0.8810
D)0.0853

Question

Quizplus · Accepted Answer

The probability of getting a five in a single toss of a fair six-sided die is 1/6, and the probability of not getting a five is 5/6. The problem asks for the probability of getting a five at most 40 times in 200 tosses, which can be calculated using the binomial distribution formula or approximated using the normal distribution as a binomial distribution with a large number of trials. The exact calculation might be complex and typically requires computational tools. However, the given options suggest that the calculation has been done, and option A is the correct choice, indicating that the probability of getting a five at most 40 times in 200 tosses of a fair six-sided die is approximately 0.9131. This reflects the cumulative probability of getting 0 to 40 fives, which is relatively high, considering the expected number of fives in 200 tosses would be close to 33.33 (200/6), and 40 is not far from this expectation.

Find the Probability That in 200 Tosses of a Fair