Question

If two dice are rolled, what is the probability of getting an event” sum of at most 5”?

Answer 1

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.

Answer 2

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

Answer 3

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.