I need help understanding this question.?

Question

I don't understand this question. Is it asking me how many possible outcomes in the sample space? So, 6 x 10= 60. Is that right?

How many elements are in the sample space of the experiment "toss a die and select two same numbers from among 0, 1, 2, 3, 4, 5, 6, 7, ,8 ,9?"

I copied the question exactly.

Thanks. =)

The way I understand it, the die has 6 faces and there is a sample space of 10 numbers that can be used with the 6-sided die to provide different combinations.

Answer 1

I assume this die has 10 faces and they are numbered 0 through 9. If you throw the die, I do not see how you can select "two same " numbers. Since all the numbers on the die are different, none are the same.

If you copied this problem exactly, then it was written by someone that has problems expressing themself accurately.

Answer 2

If "two same numbers" means you're picking just one of those numbers, but picking it twice, then the outcomes would be 10 x 6 = 60.

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If you're selecting two different numbers from among 10 options. The number of possibilities is 10C2 = 45

There are 6 options for the die, so the total is

6 * 45 = 270