Question #aa041

1 Answer
Apr 26, 2017

This is a counting exercise.

#P(10)= 1/12#

Explanation:

Since the dice (number cubes) each have six sides, there are:

# 6 * 6 = 36# possible outcomes for rolling two of them together.

Which of these add to #10#?
#6 + 4 = 10#
#5 + 5 = 10#
#4 + 6 = 10#

The result #6 + 4# means the FIRST die showed #6#, and the SECOND die showed #4#.
The result #4 + 6# is just the opposite. Therefore, these are two separate outcomes.

There are #3# outcomes out of #36# that add to #10.#

Therefore the probability is #3/36# which reduces to #1/12#.