Arthur Pratt

2022-01-05

If a die is rolled 30 times, there are $6}^{30$ different sequences possible. The following question asks how many of these sequences satisfy certain conditions.

What fraction of these sequences have exactly three 4s and three 5s?

What fraction of these sequences have exactly three 4s and three 5s?

Laura Worden

Beginner2022-01-06Added 45 answers

Let 'S' be the sample space of rolling dice once.

Assuming a dice is fair, all the outcomes are equally likely.

When a dice is rolled once, there are

Here, the dice is rolled

There are

In the remaining

In the remaining

The number of possible ways of filling the remaining

The total number of sequences with exactly three

Use the formula to compute the required probability: