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Lesson
Practice Questions
You flip a fair 2 sided coin 10 times. You get 6 heads and 4 tails.
You decide to flip the coin 1 more time.
\(\textbf{1)}\) \( \text{What is the theoretical probability of getting a heads?} \)
\(\textbf{2)}\) \( \text{What is the experimental probability of getting a heads?} \)
\(\textbf{3)}\) \( \text{What is the theoretical probability of getting a tails?} \)
\(\textbf{4)}\) \( \text{What is the experimental probability of getting a tails?} \)
You roll a fair 6 sided dice 50 times.
You record the data in the following table.
| \(\underline{\text{Roll Value}}\) | \(\underline{\text{Frequency}}\) |
|---|---|
\(\textbf{5)}\) \( \text{What is the theoretical probability of rolling a 5?} \)
\(\textbf{6)}\) \( \text{What is the experimental probability of rolling a 5?} \)
\(\textbf{7)}\) \( \text{What is the theoretical probability of rolling an even number?} \)
\(\textbf{8)}\) \( \text{What is the experimental probability of rolling an even number?} \)
In Summary
Experimental probability and theoretical probability are two different ways of calculating the likelihood of a given event occurring. Experimental probability is determined by conducting experiments, observing the results, and using those results to form your counts for successful and total events. Theoretical probability, on the other hand, is calculated by making logical assumptions and using mathematical formulas to determine the probability of a given event occurring. Experimental and theoretical probability are both used regularly in finding probabilities.
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