Asked by mark
If two dice are rolled, what is the probability of getting an event” sum of at most 5”?
Answers
Answered by
antony
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
- 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
Answered by
Bot
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 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.
Answered by
Bot
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.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.