📚 Topic Summary
Probability helps us understand how likely something is to happen. We can use probability to make predictions about future events. For example, if a spinner has 4 equal sections and one section is blue, the probability of landing on blue is $\frac{1}{4}$. This means if you spin it many times, you can predict that it will land on blue about 1 out of every 4 spins. We can use these probabilities to predict the number of times an event will occur.
To make a prediction, we multiply the probability of the event by the number of trials (attempts). For instance, if you flip a fair coin 100 times, the probability of getting heads is $\frac{1}{2}$. So, we predict that you'll get heads approximately $\frac{1}{2} \times 100 = 50$ times.
🧠 Part A: Vocabulary
Match the following terms with their definitions:
| Term |
Definition |
| 1. Probability |
A. The number of times an experiment is repeated. |
| 2. Prediction |
B. A guess about what might happen in the future. |
| 3. Trial |
C. The chance that something will happen. |
| 4. Outcome |
D. The result of a single trial. |
| 5. Event |
E. A set of possible outcomes. |
- Match 1: Probability matches definition ____.
- Match 2: Prediction matches definition ____.
- Match 3: Trial matches definition ____.
- Match 4: Outcome matches definition ____.
- Match 5: Event matches definition ____.
📝 Part B: Fill in the Blanks
Fill in the missing words in the paragraph below:
When we use ________ to make ________, we multiply the ________ of an event by the number of ________. For example, if the probability of rain is $\frac{1}{3}$ and we look at 9 days, we ________ that it will rain on approximately ________ days.
💡 Part C: Critical Thinking
Imagine you have a bag with 5 red marbles and 3 blue marbles. If you pick a marble, record its color, and then put it back in the bag, how many times would you expect to pick a red marble if you repeat this process 40 times? Explain your reasoning.