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If a fair die is rolled 7 times, what is the probability, rounded to the nearest thousandth, of getting at least 4 threes?

Sagot :

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.

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