A standard pair of six sided dice is rolled. What is the probability of rolling a sum less than or equal to 10?

Question

28265 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-08T05:40:53

the probability is #1/12#

You will get 36 possible cases with two sided dices :

(1,1), (1,2),(1,3),...,(64),(6,5),(6,6)

but only these ones will give you a sum less than equal to 10:

(6,4),(4,6),(5,5)

Then the probability is:

#p=3/36=1/12#

Answer 2 · 2017-02-09T11:53:18

#P( "sum" le 10) = 11/12#

There are 36 possible combinations from the two dice which are listed in this table:

The combination where the sum is less than or equal to 10 are coloured, and so

#P( "sum" le 10) = (36-3)/36 = 33/36 = 11/12#