The answer is 19 : 2.
Since chips are drawn at random so possible number of outcomes is
[tex]C(7,2)=\frac{7 !}{2 ! 5 !}=21[/tex]
Following table shows all possible outcomes and the corresponding sum :
Outcomes Sum
1 2 3
1 3 4
1 4 5
1 5 6
1 6 7
1 7 8
2 3 5
2 4 6
2 5 7
2 6 8
2 7 9
3 4 7
3 5 8
3 6 9
3 7 10
4 5 9
4 6 10
4 7 11
5 6 11
5 7 12
6 7 13
Out of 21 outcomes, 2 shows sum 6.
That is outcome in favor are 21-2=19 and against are 2.
The odds are the sum of the numbers on the two selected slips is not 6 is 19 : 2.
What is Probability?
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