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I have 5 marbles numbered 1 through 5 in a bag. Suppose I take out two different marbles at random. What is the expected value of the sum of the numbers on the marbles?

 Sep 1, 2020
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I have 5 marbles numbered 1 through 5 in a bag. Suppose I take out two different marbles at random. What is the expected value of the sum of the numbers on the marbles?

 

Sum 1 2 3 4 5
1 X X X X X
2 3 X X X X
3 4 5 X X X
4 5 6 7 X X
5 6 7 8 9 X

 

 

There are 10 choices so each one has a prob of 1/10=0.1

0.1( 3+4+5+5+6+7+6+7+8+9) = 6

 Sep 2, 2020

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