4. Simulations
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Find the sample space and then determine the number of favorable outcomes.
7/40 or 17.5 %
We flip a coin and roll the 20-sided figure. Now, we want to find the probability of the following compound event.
Flipping tails and rolling at least a 14. |
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 at least equal to 14 and T.
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 7 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=7/40=17.5 %