SOLUTION: A fair die is rolled twice. Calculate the probability that the sum of the two numbers resulting is 6.
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Question 1022268
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A fair die is rolled twice. Calculate the probability that the sum of the two numbers resulting is 6.
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First Die
| 1 | 2 | 3 | 4 | 5 | 6
===+===+===+===+===+===+===
1 | 2 | 3 | 4 | 5 | 6 | 7
---+---+---+---+---+---+---
2 | 3 | 4 | 5 | 6 | 7 | 8
---+---+---+---+---+---+---
3 | 4 | 5 | 6 | 7 | 8 | 9
second ---+---+---+---+---+---+---
die 4 | 5 | 6 | 7 | 8 | 9 |10
---+---+---+---+---+---+---
5 | 6 | 7 | 8 | 9 |10 |11
---+---+---+---+---+---+---
6 | 7 | 8 | 9 |10 |11 |12
There are a total of 36 outcomes in the chart
(4,2),(2,4),(1,5),(5,1),(3,3)=5/36
Probability of getting a sum of six=5/36