A fair die is rolled 10 times with the following results: 5, 5, 1, 3, 2, 1, 5, 6

Question

A fair die is rolled 10 times with the following results: 5, 5, 1, 3, 2, 1, 5, 6, 5, 1. If the fair die is rolled another 10 times, which conclusion is correct?

We will definitely get four 5's again.

We will definitely get more than four 5's.

We will definitely get fewer than four 5's.

We don't know for sure how many 5's we will get.

We will definitely get four 5's again.

We will definitely get more than four 5's.

We will definitely get fewer than four 5's.

We don't know for sure how many 5's we will get.

Explanation / Answer

Prob for getting 5 in the first 10 throws is 4/20 = 1/5

But for a fair die prob = 1/6

As the events are independent, the outcomes for next 10 trials is purely independent of these first 10.

Hence We don't know for sure how many 5's we will get.

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