You roll two dice (each die has six sides). what is the probability that you won't roll a 1 or a 6 on either die? a) 11.1%b) 66.7%c) 44.4%d) 69.4%

B) 66.7%

Step-by-step explanation:

We know that, Number of outcomes on a fair die = 6

When we throw two dice , the total number of possible outcomes =  (By Fundamental counting principle)

The outcomes having either a 1 or a 6 = (1 , 1) (1 ,2) , (1,3) , (1,4) , (1,5) , (1,6)

(6, 1) (6 ,2) , (6,3) , (6,4) , (6,5) , (6,6)

i.e. Total 12 outcomes have either a 1 or a 6 .

So , the number of outcomes do not have either a 1 or a 6 = 36-12=24

i.e. favorable outcomes = 24

Now , the  probability that you won't roll a 1 or a 6 on either die would become

In percent =

Hence, the probability that you won't roll a 1 or a 6 on either die= 66.7%

Therefore ,  the correct answer is B) 66.7% .

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed