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Jack will roll two number cubes labeled 1 to 6. What is the probability that Jack will roll a sum greater than 5?

User Darpa
by
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1 Answer

7 votes

Answer:

13/18

Explanation:

The possible 36 outcomes are as follows

1+1=2

1+2 or 2+1=3

1+3 or 2+2 or 3+1=4

1+4 or 2+3 or 3+2 or 4+1=5

The above sums are not greater than 5. They are 10 out of possible 36 outcomes

1+5 or 2+4 or 3+3 or 4+2 or 5+1=6

1+6 or 2+5 or 3+4 or 4+3 or 5+2 or 6+1=7

2+6 or 3+5 or 4+4 or 5+3 or 6+2=8

3+6 or 4+5 or 5+4 or 6+3=9

4+6 or 5+5 or 6+4 =10

5+6 or 6+5 =11

6+6=12

It is evident that 26 out of 36 outcomes will have a sum greater than 5

26/36=13/18

User Mutant Bob
by
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