Test
Theoretical and experimental probability
This test distinguishes theoretical probability from experimental probability and calculates the likelihood of events. Tasks cover complementary events, multistage experiments, observed frequencies and the effect of increasing the number of trials.
Time left: 00:00:00
Sample questions
- In ___ trials, an event occurred ___ times. Find the experimental probability.
- A fair six-sided die is rolled. What is the probability of rolling at most ___?
- The probability of A is ___%. What is the probability of its complement?
- A fair coin is tossed ___ times. What is the probability of heads every time?
- A box has ___ red and ___ blue balls. Two are drawn without replacement. What is the probability both are red?
Theoretical and experimental probability
For a finite sample space of equally likely outcomes, theoretical probability P(A) is the number of favourable outcomes divided by the total number of outcomes. A probability is always between 0 and 1.
Results of trials
Experimental probability is the relative frequency of an event. As the number of independent trials grows, it generally approaches the theoretical probability but need not equal it exactly. Describe the sample space and verify that its outcomes are equally likely before using simple counting.
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