Question

a pair of dice is rolled. what is the probability of getting a sum of 3?

how many possible outcomes are there from rolling two dice?
there are 36 possible outcomes from rolling two dice.
(simplify your answer. type an integer or a fraction.)

how many ways can two dice be rolled such that their sum is 3?
there is/are 2 way(s) two dice can be rolled such that their sum is 3.
(simplify your answer. type an integer or a fraction.)

what is the probability of getting a sum of 3?
the probability of getting a sum of 3 is \\(\square\\).
(simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Recall Probability Formula

Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes, i.e., $P = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$.

Step2: Identify Values

From the problem, the total number of possible outcomes when rolling two dice is 36, and the number of favorable outcomes (sum of 3) is 2.

Step3: Calculate Probability

Substitute the values into the formula: $P = \frac{2}{36}$. Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 2. So, $\frac{2\div2}{36\div2} = \frac{1}{18}$.

Answer:

$\frac{1}{18}$