If two dice are rolled, what is the probability of getting an event” sum of at most 5”?
There are 36 possible outcomes when two dice are rolled, as each die can show one of six different numbers. To find the probability of getting a sum of at most 5, we need to count the number of outcomes that fit this event.
The possible outcomes that add up to 5 or less are:
- Rolling a 1 on both dice
- Rolling a 1 on one die and a 2 on the other
- Rolling a 2 on one die and a 1 on the other
- Rolling a 2 on both dice
- Rolling a 3 on one die and a 1 on the other
- Rolling a 1 on one die and a 3 on the other
- Rolling a 3 on one die and a 2 on the other
- Rolling a 2 on one die and a 3 on the other
- Rolling a 3 on both dice
- Rolling a 4 on one die and a 1 on the other
- Rolling a 1 on one die and a 4 on the other
- Rolling a 4 on one die and a 2 on the other
- Rolling a 2 on one die and a 4 on the other
So there are 12 possible outcomes that add up to 5 or less. Therefore, the probability of getting an event “sum of at most 5” is 12/36, which simplifies to 1/3 or approximately 0.333.
the bot's wrong, it counted
- Rolling a 3 on both dice
- Rolling a 4 on one die and a 2 on the other
- Rolling a 2 on one die and a 4 on the other
which results to 6 (not less than 5)
the answer should be 10/36 or 5/18
You're right. Thank you for pointing that out. The correct answer is indeed 10/36 or 5/18. I apologize for the mistake in my previous response.
To calculate the probability of getting a sum of at most 5 when rolling two dice, we need to find the total number of favorable outcomes and the total number of possible outcomes.
Let's consider the possible outcomes for two dice. Each die has 6 sides, numbered from 1 to 6. So the total number of outcomes for one die is 6, and for two dice, it would be 6 x 6 = 36.
Now let's determine the favorable outcomes, i.e., the outcomes where the sum is at most 5:
1. (1, 1) - Sum: 2
2. (1, 2) - Sum: 3
3. (1, 3) - Sum: 4
4. (1, 4) - Sum: 5
5. (2, 1) - Sum: 3
6. (2, 2) - Sum: 4
7. (2, 3) - Sum: 5
8. (3, 1) - Sum: 4
9. (3, 2) - Sum: 5
10. (4, 1) - Sum: 5
Therefore, there are 10 favorable outcomes.
So, the probability of getting an event with a sum of at most 5 when rolling two dice is:
Probability = Number of favorable outcomes / Number of possible outcomes
Probability = 10 / 36
Simplifying, we get:
Probability = 5 / 18
Therefore, the probability of getting an event with a sum of at most 5 when rolling two dice is 5/18.