Question 1102726: There are six slips in a box and numbers 1,1,2,2,3,3 are written on these slips.two slips are taken at random from the box.the expected values of the sum of numbers on the two slips is?
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! Look at all of the possible outcomes, 30 of them,
(1,1)(1,2)(1,2)(1,3)(1,3)
(1,1)(1,2)(1,2)(1,3)(1,3)
(2,1)(2,1)(2,2)(2,3)(2,3)
(2,1)(2,1)(2,2)(2,3)(2,3)
(3,1)(3,1)(3,2)(3,2)(3,3)
(3,1)(3,1)(3,2)(3,2)(3,3)
and their sums,
2,3,3,4,4
2,3,3,4,4
3,3,4,5,5
3,3,4,5,5
4,4,5,5,6
4,4,5,5,6
So then look at the frequency of each sum,
2:2
3:8
4:10
5:8
6:2
Then the probabilities would be,
2:
3:
4:
5:
6:
So,
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