| Trial | Outcomes | Examples of Events |
|---|---|---|
| Rolling a die | There are 6 possible outcomes: {1, 2, 3, 4, 5, 6} | Rolling an even number: {2, 4, 6} Rolling a 3: {3} Rolling a 1 or a 3: {1, 3} Rolling a 1 and a 3: { } (Only one number can be rolled, so this outcome is impossible. The event has no outcomes in it.) |
What are the possible outcomes when a dice is rolled?
For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the “event” happening. For instance, “rolling an even number” is an event that corresponds to the set of outcomes {2, 4, 6}.
When a dice is rolled There are 6 possible outcomes What is the likelihood of the dice landing a 3?
Two (6-sided) dice roll probability table
| Roll a… | Probability |
|---|---|
| 3 | 3/36 (8.333%) |
| 4 | 6/36 (16.667%) |
| 5 | 10/36 (27.778%) |
| 6 | 15/36 (41.667%) |
How many different outcomes are possible after rolling all six dice?
The number of possible outcomes is 66=46656.
What is a rolling die?
“Die” is the singular form of “dice,” so “roll a die” means rolling one, and “roll the dice” means rolling two. See a translation.
What is the most common number to roll with 1 dice?
You can see, only number 7 can be scored in each case, therefore 7 is the most common result, if you roll one dice and then another one.
What is the probability of rolling a sum of 3?
We divide the total number of ways to obtain each sum by the total number of outcomes in the sample space, or 216. The results are: Probability of a sum of 3: 1/216 = 0.5% Probability of a sum of 4: 3/216 = 1.4%
What is the probability of not rolling a four when rolling a six-sided die?
In this case the probability of not rolling a 4 is 5/6 or approximately 83.33%. This is because there are 5 numbers that are not a 4 on a standard six-sided die.
What is the probability of getting a 7 when rolling 2 dice?
Probabilities for the two dice
| Total | Number of combinations | Probability |
|---|---|---|
| 7 | 6 | 16.67% |
| 8 | 5 | 13.89% |
| 9 | 4 | 11.11% |
| 10 | 3 | 8.33% |