Question

When rolling two standard six-sided dice and adding the numbers, what is the probability of getting a 3?

a. 1/36
b. 1/18
c. 1/12
d. 1/24

Answer 1

The probability of rolling a sum of 3 when two six-sided dice are rolled is 1/18, which corresponds to the two ways to achieve this sum out of the 36 possible outcomes.

Step-by-step explanation:

When rolling two standard six-sided dice, the only way to get a sum of 3 is by rolling a 1 on one die and a 2 on the other die, or vice versa. There are two desired outcomes (1 then 2, or 2 then 1) out of the 36 possible outcomes when rolling two dice (each die has 6 faces, so 6 x 6 = 36 total outcomes). Therefore, the probability of rolling a sum of 3 is 2/36, which simplifies to 1/18. This matches option b. 1/18.