Two dice are rolled. Find the probability that the score on the dice is 5.

total possible results: 36

ways to make 5: 14,23,32,41

So, p(5) = 4/36

57,73

To find the probability of rolling a total score of 5 on two dice, we need to determine the number of ways we can achieve this score and divide it by the total number of possible outcomes.

To find the number of ways we can get a total score of 5, we can list all the possible combinations:

1 + 4
2 + 3
3 + 2
4 + 1

So there are four possible combinations that give a total score of 5.

Now, let's calculate the total number of possible outcomes when rolling two dice. One die has six possible outcomes (from 1 to 6), and since we are rolling two dice, the total number of outcomes is 6 * 6 = 36.

Therefore, the probability of rolling a total score of 5 is:
Number of favorable outcomes / Total number of possible outcomes
4 / 36

Simplifying the fraction, we get:
1 / 9

So, the probability of rolling a total score of 5 on two dice is 1/9.

To find the probability of rolling a score of 5 on two dice, we need to determine the number of favorable outcomes and the total number of possible outcomes.

Let's break it down step by step:

Step 1: Determine the favorable outcomes.
To get a score of 5, there are several combinations possible: (1, 4), (2, 3), (3, 2), and (4, 1). In total, there are four combinations that will result in a score of 5.

Step 2: Determine the total number of outcomes.
When two dice are rolled, each die has 6 sides numbered from 1 to 6. Since there are two dice, the total number of outcomes can be calculated by multiplying the number of sides on each die. Therefore, there are 6 * 6 = 36 possible outcomes.

Step 3: Calculate the probability.
To find the probability, divide the number of favorable outcomes by the total number of outcomes:

P(score of 5) = favorable outcomes / total outcomes
P(score of 5) = 4 / 36

Simplifying the fraction, we get:

P(score of 5) = 1 / 9

Therefore, the probability of rolling a score of 5 on two dice is 1/9.