Two fair dice are rolled. How do you find the probability that the sum of the two numbers is not greater than 5?

1 Answer

Make a chart to see how many total possibilities there are for two dice ( 36) Then divide the number of possibilities that are not greater than 5 by 36.

Explanation:

make a chart #6xx6# This will give 36 possibilities

#(1,1), (1,2), (1,3), (1.4)# are not greater than five.
#(2.1), (3,1), (4,1)# are not greater than five.
#(2,2) , (2,3)# are not greater than five.
#(3,2)# is not greater than five.

So there are 10 possibilities out of #36# that are not greater than five.

Divide the possibilities that are not greater than five by the total number of possibilities

# 10/36# = # 5/18# or # 27.7bar(7)%#