two dice are rolled find the probability of getting a 5 on either dice or the sum of both dice is 5

However, the probability of getting 5 (or any other number 1-6) on a die is 1/6. The either-or probability is found by adding the probability of individual events.

The sum of both dice = 5 can be obtained by

1, 4
4, 1
2, 3 or
3, 2

The probability of getting any one of these pairings is 1/36. Again, the either-or probability is found by adding the probability of individual events.

I hope this helps. Thanks for asking.

10/36

To find the probability of getting a 5 on either dice or the sum of both dice being 5, we need to calculate the probabilities of these two events separately and then add them together.

First, let's calculate the probability of getting a 5 on either dice.

When rolling a single fair six-sided die, there is only one way to get a 5. Since there are two dice being rolled, the total number of outcomes is 6 x 6 = 36.

Therefore, the probability of getting a 5 on either dice is 1/36.

Next, let's calculate the probability of the sum of both dice being 5.

There are four possible combinations that result in a sum of 5: (1, 4), (2, 3), (3, 2), (4, 1).

Since each die has 6 sides, the total number of outcomes is still 6 x 6 = 36.

Therefore, the probability of the sum of both dice being 5 is 4/36 = 1/9.

Finally, we add the probabilities of getting a 5 on either dice or the sum of both dice being 5:

1/36 + 1/9 = 1/36 + 4/36 = 5/36.

Thus, the probability of getting a 5 on either dice or the sum of both dice being 5 is 5/36.

To find the probability of getting a 5 on either dice or the sum of both dice being 5, we need to calculate the number of favorable outcomes and the total number of possible outcomes.

First, let's consider the probability of getting a 5 on either dice. There are two ways this can happen: either the first dice rolls a 5, or the second dice rolls a 5. The remaining dice can take any value from 1 to 6, giving us a total of 6 possible outcomes for each roll. Therefore, there are 2 favorable outcomes and a total of 6 possible outcomes for each dice. So, the probability of getting a 5 on either dice is 2/6, which simplifies to 1/3.

Now, let's consider the probability of the sum of both dice being 5. We need to find all the possible combinations of two dice that add up to 5. These combinations are: (1,4), (2,3), and (3,2), which gives us a total of 3 favorable outcomes. Since each dice has 6 possible outcomes, the total number of possible outcomes is 6 * 6 = 36.

Now, to find the probability of either rolling a 5 or getting a sum of 5, we will add the probability of both events. However, we need to subtract the intersection of these events to avoid counting it twice. In this case, the intersection is when both dice show a 5, which is already counted in the first event. Thus, we only need to add the favorable outcomes of the second event. Therefore, the probability of either rolling a 5 or getting a sum of 5 is (2/6) + (3/36) = 7/18.

So, the probability of getting a 5 on either dice or the sum of both dice being 5 is 7/18.