QUESTION IMAGE
Question
the following table represents the highest educational attainment of all adult residents in a certain town. if an adult is chosen randomly from the town, what is the probability that they have a high school degree or some college, but have no college degree? round your answer to the nearest thousandth.
| age 20 - 29 | age 30 - 39 | age 40 - 49 | age 50 & over | total | |
|---|---|---|---|---|---|
| some college | 1318 | 1027 | 1063 | 2554 | 5962 |
| bachelor’s degree | 571 | 999 | 688 | 1225 | 3483 |
| master’s degree | 631 | 757 | 697 | 1323 | 3408 |
| total | 3784 | 3892 | 2800 | 7105 | 17581 |
Step1: Find the number of people with high school degree or some college
Add the total number of people with high - school only ($4728$) and some college ($5962$).
$4728 + 5962=10690$
Step2: Find the total number of adults
The total number of adults is $17581$.
Step3: Calculate the probability
Use the formula for probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.
$P=\frac{10690}{17581}\approx0.608$
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$0.608$