PS.SPMJ.2
Distinguish between experimental and theoretical probabilities. Collect data on a chance event and use the relative frequency to estimate the theoretical probability of that event. Determine whether a given probability model is consistent with experimental results.
Example Problems
Aliens abducted Earth creatures to choose one to sample from:
Estimate the probability that the aliens select a cow.
Input your answer as a fraction or as a decimal rounded to the nearest hundredth.
| Abducted | Count |
|---|---|
| Chicken | 97 |
| Cow | 47 |
| Human | 77 |
Estimate the probability that the aliens select a cow.
Input your answer as a fraction or as a decimal rounded to the nearest hundredth.
A factory recorded the number of defective items found each day over the last 45 days.
Based on this data, what is the probability that on a randomly selected day fewer than 2 defects were found?
| Defects | Days |
|---|---|
| 0 | 10 |
| 1 | 8 |
| 2 | 12 |
| 3 | 2 |
| 4+ | 13 |
Based on this data, what is the probability that on a randomly selected day fewer than 2 defects were found?
Grace and Jack sampled markers from a gigantic bucket:
Use the observed frequencies to estimate the probability that the color of the next randomly selected marker from the gigantic bucket of markers is red.
| Color | Count |
|---|---|
| Yellow | 12 |
| Blue | 37 |
| Red | 1 |
Use the observed frequencies to estimate the probability that the color of the next randomly selected marker from the gigantic bucket of markers is red.
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