Question

What is the probability of getting a sum of 5 when a pair of dice is rolled?

Answer 1

Answer:

If a die is rolled then the outcomes of the sums are :

1. 1,1
2. 1,2
3. 1,3
4. 1,4 = 5
5. 1,5
6. 1,6
7. 2,1
8. 2,2
9. 2,3 = 5
10. 2,4
11. 2,5
12. 2,6
13. 3,1  
14. 3,2  = 5
15. 3,3  
16. 3,4  
17. 3,5  
18. 3,6
19. 4,1 = 5
20. 4,2
21. 4,3
22. 4,4
23. 4,5
24. 4,6
25. 5,1
26. 5,2
27. 5,3
28. 5,4
29. 5,5
30. 5,6
31. 6,1
32. 6,2
33. 6,3
34. 6,4
35. 6,5

 36. 6,6

So there are 36 outcomes out of which the outcome for a sum of 5 is 4

Hence the probability = 4/36 = 1/9

Answer 2

Answer:

Each dice has six combinations which are independent therefore the number of possible out comes will be 6*6=36 The probability of rolling a pair of dice whose number add to 5 is 4/36=1/9