If a 6-sided die is rolled 5 times and rolling a 2 is considered to be a success, what are the chances
Of rolling exactly three successes?
A) 16.67%
B) 33.33%
C) 32.15%
D) none of these
E) 0.32%

Question

Quizplus · Accepted Answer

The probability of rolling a 2 on a 6-sided die is 1/6. Using the binomial probability formula for exactly 3 successes in 5 trials, the probability is calculated as: (5 choose 3) * (1/6)^3 * (5/6)^2 = 0.03215 or 3.215%, which is closest to 32.15% when rounded.

If a 6-Sided Die Is Rolled 5 Times and Rolling