📚 Topic Summary
Experimental probability is about finding the likelihood of an event based on actual experiments or trials. Instead of theoretical calculations, we perform an experiment many times and observe the outcomes. The experimental probability is calculated by dividing the number of times the event occurs by the total number of trials. For instance, if you flip a coin 20 times and it lands on heads 12 times, the experimental probability of getting heads is $\frac{12}{20}$ or 60%. This gives us a practical idea of what to expect in similar situations.
🔤 Part A: Vocabulary
Match the following terms with their definitions:
| Term |
Definition |
| 1. Trial |
A. The result of a single trial in an experiment. |
| 2. Outcome |
B. The number of times an event occurs. |
| 3. Event |
C. A set of one or more outcomes. |
| 4. Frequency |
D. A single repetition of an experiment. |
| 5. Experimental Probability |
E. $\frac{\text{Number of times the event occurs}}{\text{Total number of trials}}$. |
(Answers: 1-D, 2-A, 3-C, 4-B, 5-E)
✍️ Part B: Fill in the Blanks
Complete the paragraph using the words from the word bank: trials, outcome, event, experimental probability, predict.
When performing an experiment, each repetition is called a __________. The result of each trial is an __________. An __________ is a specific set of outcomes that we are interested in. The __________ is calculated by dividing the number of times the event occurs by the total number of trials. We can use this probability to __________ future outcomes.
(Answers: trials, outcome, event, experimental probability, predict)
🤔 Part C: Critical Thinking
Imagine you roll a six-sided die 50 times and you get a '3' only 6 times. Based on this experiment, what is the experimental probability of rolling a '3'? How might the experimental probability change if you rolled the die 500 times? Explain your reasoning.