Problem

Two six-sided dice are rolled. Using the sample space for rolling two dice shown in the figure below, find the probability that the sum of the dice is 6 . Give your answer as a reduced fraction. $7 / 36$ $3 / 36$ $5 / 36$ $11 / 36$

Solution

Step 1 :The sample space for rolling two dice is 36 (6 outcomes for the first die times 6 outcomes for the second die).

Step 2 :We need to find the number of outcomes where the sum of the dice is 6. These are (1,5), (2,4), (3,3), (4,2), (5,1). So there are 5 such outcomes.

Step 3 :The probability is therefore \(\frac{5}{36}\).

Step 4 :Final Answer: The probability that the sum of the dice is 6 is \(\boxed{\frac{5}{36}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/8488/

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