The table below shows the distribution of a group of commuters surveyed about their primary mode of transportation and their daily commuting distance.
| Commuting Distance | Public Transit | Personal Vehicle |
|---|---|---|
| Under 10 miles | 45 | 35 |
| 10 miles or more | 60 | 40 |
Based on the table, if a commuter who primarily uses a personal vehicle is selected at random, what is the probability that this commuter has a daily commuting distance of under 10 miles?
- A
- B
- Cevap
- D
Cevap
The probability that the selected commuter has a daily commuting distance of under 10 miles, given that they primarily use a personal vehicle, is .
To find the probability that a commuter has a daily commuting distance of under 10 miles given that they primarily use a personal vehicle, we limit our sample space to only the commuters who use a personal vehicle. The total number of commuters who primarily use a personal vehicle is . Within this group, the number of commuters with a daily commuting distance of under 10 miles is 35. Therefore, the probability is the fraction , which simplifies to .
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Anahtar Kavram
Calculating conditional probability from a two-way table by identifying the correct subset of the population to use as the denominator.
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