4. Simulations
Sign In
Find the sample space and then determine the number of favorable outcomes.
2/40 or 5 %
We flip a coin and roll the 20-sided figure. Now, we want to find the probability of the following compound event.
|
Flipping heads and rolling less than 3. |
| Tails | Heads | |
|---|---|---|
| 1 | 1T | 1H |
| 2 | 2T | 2H |
| 3 | 3T | 3H |
| 4 | 4T | 4H |
| 5 | 5T | 5H |
| 6 | 6T | 6H |
| 7 | 7T | 7H |
| 8 | 8T | 8H |
| 9 | 9T | 9H |
| 10 | 10T | 10H |
| 11 | 11T | 11H |
| 12 | 12T | 12H |
| 13 | 13T | 13H |
| 14 | 14T | 14H |
| 15 | 15T | 15H |
| 16 | 16T | 16H |
| 17 | 17T | 17H |
| 18 | 18T | 18H |
| 19 | 19T | 19H |
| 20 | 20T | 20H |
We can see that there are 40 possible outcomes of our event. Next, let's highlight the favorable outcomes — the outcomes in which we have the number less than 3 and H.
| Tails | Heads | |
|---|---|---|
| 1 | 1T | 1H |
| 2 | 2T | 2H |
| 3 | 3T | 3H |
| 4 | 4T | 4H |
| 5 | 5T | 5H |
| 6 | 6T | 6H |
| 7 | 7T | 7H |
| 8 | 8T | 8H |
| 9 | 9T | 9H |
| 10 | 10T | 10H |
| 11 | 11T | 11H |
| 12 | 12T | 12H |
| 13 | 13T | 13H |
| 14 | 14T | 14H |
| 15 | 15T | 15H |
| 16 | 16T | 16H |
| 17 | 17T | 17H |
| 18 | 18T | 18H |
| 19 | 19T | 19H |
| 20 | 20T | 20H |
We have 2 favorable outcomes. Finally, we are ready to calculate the probability. Remember that the probability is the quotient of the number of favorable outcomes and the number of possible outcomes. P=2/40=5 %