Question

marco writes down the prime numbers less than 20 on identical pieces of paper, one number on each paper. Then he draws one paper at random. Write the sample space and the total number of possible outcomes

Answer 1

The prime numbers less than 20 have only 2 quotients

• The sample space of the experiment is: {2, 3, 5, 7, 11, 13, 17, 19}
• The number of possible outcomes is 40320

How to determine the sample space?

The prime numbers less than 20 are:

2, 3, 5, 7, 11, 13, 17 and 19.

So, the sample space of the experiment is: {2, 3, 5, 7, 11, 13, 17, 19}

The total number of outcomes

In (a), we have the sample size to be:

n = 8

So, the number of possible outcomes is:

n! = 8!

This gives

n! = 40320

Hence, the number of possible outcomes is 40320

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