Question

Liza is playing a game where she needs to get a score of 4 by rolling two six-sided dice. What is the probability of her getting a score of 4 ?

Answer 1

To find the probability of Liza rolling a total score of 4 with two six-sided dice, we first need to determine the possible combinations of the two dice that result in a sum of 4.

The possible pairs (Die 1, Die 2) that result in a sum of 4 are:

1. (1, 3)
2. (2, 2)
3. (3, 1)

Thus, there are 3 successful outcomes that give a total of 4.

Next, we need to consider the total number of possible outcomes when rolling two dice. Since each die has 6 faces, the total number of combinations when rolling two dice is:

\[
6 \times 6 = 36
\]

Now, we can calculate the probability of rolling a total of 4 by dividing the number of successful outcomes by the total number of outcomes:

\[
\text{Probability} = \frac{\text{Number of successful outcomes}}{\text{Total number of outcomes}} = \frac{3}{36} = \frac{1}{12}
\]

Therefore, the probability of Liza getting a score of 4 by rolling two six-sided dice is \(\frac{1}{12}\).