Two 6-sided dice are rolled at the same time. How many outcomes correspond to the event that the sum of the numbers is 5?
To find the number of outcomes corresponding to the event that the sum of the numbers rolled on two 6-sided dice is 5, we can list all the possible outcomes and count how many of them satisfy the given condition.
Let's consider the first die and label its faces as 1, 2, 3, 4, 5, and 6. We can roll a 1, 2, 3, 4, 5, or 6 on the first die.
Now, let's consider the second die and label its faces as 1, 2, 3, 4, 5, and 6 as well. We can roll a 1, 2, 3, 4, 5, or 6 on the second die.
To find the outcomes where the sum of the numbers is 5, we need to find all the combinations of rolls that add up to 5.
The possible combinations are:
1 on the first die and 4 on the second die
2 on the first die and 3 on the second die
3 on the first die and 2 on the second die
4 on the first die and 1 on the second die
Therefore, there are 4 outcomes where the sum of the numbers rolled on two 6-sided dice is 5.
To determine the number of outcomes that correspond to the event that the sum of the numbers is 5 when rolling two 6-sided dice, we need to find all the possible combinations that add up to 5.
The possible outcomes for each die range from 1 to 6. The sum of the two numbers can be 5 in the following ways:
1 + 4 = 5
2 + 3 = 5
3 + 2 = 5
4 + 1 = 5
So, there are four possible outcomes that correspond to the event that the sum of the numbers is 5 when rolling two 6-sided dice.
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