SOLUTION: 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 slip

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,

RELATED QUESTIONS
The numbers 1 through 13 are written in separate slips of paper, and the slips are placed (answered by rothauserc)

The numbers 1 through 9 are written in separate slips of paper, and the slips are placed... (answered by ikleyn)

The numbers 1 through 10 are written in separate slips of paper, and the slips are... (answered by richard1234)

A container has 7 slips of paper numbered 1, 2, 3, 4, 5, 6, 7. Two different slips of... (answered by ewatrrr)

Slips of paper marked with the numbers 1, 2, 3, 4 and 5 are placed in a box. After mixing (answered by stanbon)

1)The numbers from, 1 to 8 are put on slips of paper and placed in a box. Three numbers (answered by stanbon)

I need help understanding how to solve these problems... Problem #1 Let A and B be... (answered by stanbon)

Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box... (answered by edjones)

In previous section, we described an experiment in which the number 1,2,3,4, and 5 are... (answered by Fombitz)