Answer:
0.904
EX ; Each time the die is rolled, there are only two possible outcomes, either the result is a 2, or it is not. The result on a roll is independent of any other roll, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
- The parameters are:
x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.
In this problem:
- The die is rolled 7 times, hence .
One out of the 6 sides is a 2, hence
- Then:
0.905 = 90.5% probability of getting at most 2 twos.
