Answer :
The expected sum of the numbers that appear when three fair dice are rolled, is 10.5.
In the given question we have to find the expected sum of the numbers that appear when three fair dice are rolled.
As we know that a dice have six faces. Each faces are mark from the number 1 to 6.
That means if we rolled a dice then there is possibility of coming six numbers. That numbers are 1, 2, 3, 4, 5, 6.
Now the sum of these numbers is
1+2+3+4+5+6 = 21
Total numbers are 6.
So the expected sum of the numbers that appears when one fair dice is rolled
=21/6
=3.5
Since there are three fair dice that are rolled.
So the expected sum of the numbers that appears when three fair dice are rolled = 3*3.5
The expected sum of the numbers that appears when three fair dice are rolled = 10.5
To learn more about probability link is here
brainly.com/question/29657446
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