Question
Two dice are thrown at random. Which of the following events is most unlikely to happen?
Getting a sum as even number
Getting a sum as odd number
Getting a sum as multiples of 2
Getting a sum as multiples of 6
Getting a sum as even number
Getting a sum as odd number
Getting a sum as multiples of 2
Getting a sum as multiples of 6
Answers
GPT-4o mini
To determine which event is most unlikely to happen when throwing two dice, let's analyze each option based on the possible sums.
1. **Getting a sum as an even number:**
The sums that can be obtained when throwing two dice range from 2 to 12. The even sums within this range are: 2, 4, 6, 8, 10, and 12.
- Even sums: 2, 4, 6, 8, 10, 12 (total of 6 sums)
2. **Getting a sum as an odd number:**
The odd sums within the same range are: 3, 5, 7, 9, and 11.
- Odd sums: 3, 5, 7, 9, 11 (total of 5 sums)
3. **Getting a sum as multiples of 2:**
The multiples of 2 in the range 2-12 are the same as the even sums: 2, 4, 6, 8, 10, and 12.
- Multiples of 2 (even): 2, 4, 6, 8, 10, 12 (total of 6 sums)
4. **Getting a sum as multiples of 6:**
The multiples of 6 that can be obtained from two dice are 6 and 12.
- Multiples of 6: 6, 12 (total of 2 sums)
Now, let’s summarize the total counts for each event:
- Even number: 6 possible outcomes
- Odd number: 5 possible outcomes
- Multiples of 2: 6 possible outcomes
- Multiples of 6: 2 possible outcomes
From this analysis, the event that is most unlikely to happen is **getting a sum as multiples of 6** since it has the least number of possible outcomes (only 2).
1. **Getting a sum as an even number:**
The sums that can be obtained when throwing two dice range from 2 to 12. The even sums within this range are: 2, 4, 6, 8, 10, and 12.
- Even sums: 2, 4, 6, 8, 10, 12 (total of 6 sums)
2. **Getting a sum as an odd number:**
The odd sums within the same range are: 3, 5, 7, 9, and 11.
- Odd sums: 3, 5, 7, 9, 11 (total of 5 sums)
3. **Getting a sum as multiples of 2:**
The multiples of 2 in the range 2-12 are the same as the even sums: 2, 4, 6, 8, 10, and 12.
- Multiples of 2 (even): 2, 4, 6, 8, 10, 12 (total of 6 sums)
4. **Getting a sum as multiples of 6:**
The multiples of 6 that can be obtained from two dice are 6 and 12.
- Multiples of 6: 6, 12 (total of 2 sums)
Now, let’s summarize the total counts for each event:
- Even number: 6 possible outcomes
- Odd number: 5 possible outcomes
- Multiples of 2: 6 possible outcomes
- Multiples of 6: 2 possible outcomes
From this analysis, the event that is most unlikely to happen is **getting a sum as multiples of 6** since it has the least number of possible outcomes (only 2).