Find the probability.
-What is the probability that 8 rolls of a fair die will show three threes? Round to the nearest Ten-thousandth.
A) 0.1042
B) 0.0208
C) 0.2084
D) 0.0521

Question

Find the probability.
-What is the probability that 8 rolls of a fair die will show three threes? Round to the nearest Ten-thousandth.
A) 0.1042
B) 0.0208
C) 0.2084
D) 0.0521

Quizplus · Accepted Answer

The probability of rolling three threes in 8 rolls of a fair die can be calculated using the binomial probability formula: P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n=8 (number of trials), k=3 (number of successes), p=1/6 (probability of rolling a three), and (1-p)=5/6 (probability of not rolling a three). Plugging these values into the formula gives P(X=3) ≈ 0.1042.

Find the Probability. -What Is the Probability That 8 Rolls of a Fair