Suppose you roll a pair of dice.What is the probability that you roll the two dice so that they add up to 7 or 11?
A) 2/6
B) 4/36
C) 8/36
D) 9/36

Question

Quizplus · Accepted Answer

There are 36 possible outcomes when rolling a pair of dice (6 possible outcomes for the first die multiplied by 6 possible outcomes for the second die). To find the probability of rolling a sum of 7 or 11, we count the possible outcomes that add up to 7 or 11 and divide by the total number of possible outcomes. 
For a sum of 7, there are 6 possible outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). 
For a sum of 11, there are 2 possible outcomes: (5,6) and (6,5). 
Therefore, the total number of possible outcomes is 6 + 2 = 8, and the probability is 8/36, which reduces to 2/9 or approximately 0.22. 
Thus, the best choice is C, 8/36.

Suppose You Roll a Pair of Dice