📚 Topic Summary
Probability helps us understand how likely an event is to occur. There are two main types we'll focus on: theoretical probability, which is what should happen in an ideal world, and experimental probability, which is what actually happens when we conduct an experiment. Theoretical probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Experimental probability is determined by dividing the number of times an event occurs by the total number of trials.
🧮 Part A: Vocabulary
Match the term with its definition:
| Term |
Definition |
| 1. Theoretical Probability |
A. The probability based on the results of an experiment. |
| 2. Experimental Probability |
B. The set of all possible outcomes of an experiment. |
| 3. Sample Space |
C. An activity involving chance, such as rolling a die. |
| 4. Event |
D. The probability based on reasoning or calculation. |
| 5. Trial |
E. A specific outcome or set of outcomes in a sample space. |
📝 Part B: Fill in the Blanks
Complete the following sentences:
1. ___________ probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
2. ___________ probability is determined by dividing the number of times an event occurs by the total number of trials.
3. The set of all possible outcomes of an experiment is called the __________.
🤔 Part C: Critical Thinking
Imagine you flip a coin 100 times and get heads 60 times. What is the experimental probability of getting heads? How does this compare to the theoretical probability? Why might they be different?