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.
$7 / 36$
$3 / 36$
$5 / 36$
$11 / 36$

Answer

Expert–verified

Hide Steps

Answer

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

Steps

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 $\boxed{\frac{5}{36}}$.

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$

Answer

Popular Problems

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.
$7 / 36$
$3 / 36$
$5 / 36$
$11 / 36$