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# probability

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Melinda will roll two standard six-sided dice and make a two-digit number with the two numbers she rolls. For example, if she rolls a 6 and 3, she can either form 36 or 63. What is the probability that she will be able to make an integer between 10 and 20?

May 22, 2020

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Melinda will roll two standard six-sided dice and make a two-digit number with the two numbers she rolls. For example, if she rolls a 6 and 3, she can either form 36 or 63. What is the probability that she will be able to make an integer between 10 and 20?

One of the dice must be a 1, then the other die can be anything.  Either die can be the 1.

This table shows all the possibilities:

1,1   1,2   1,3   1,4   1,5   1,6

2,1   2,2   2,3   2,4   2,5   2,6

3,1   3,2   3,3   3,4   3,5   3,6

4,1   4,2   4,3   4,4   4,5   4,6

5,1   5,2   5,3   5,4   5,5   5,6

6,1   6,2   6,3   6,4   6,5   6,6

You can see that there are 11 rolls that contain at least one 1.  There are 36 rolls possible.

So the likelihood of getting a total between 10 and 20 is 11/36

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May 22, 2020