QUESTION IMAGE
Question
just high school or only some college is chosen at random, what is the probability that they are aged 50 or over? round your answer to the nearest thousandth.
| age 20 - 29 | age 30 - 39 | age 40 - 49 | age 50 & over | total | |
|---|---|---|---|---|---|
| some college | 1167 | 531 | 1226 | 1485 | 4409 |
| bachelors degree | 1342 | 594 | 755 | 1116 | 3807 |
| masters degree | 970 | 454 | 444 | 1139 | 3007 |
| total | 4410 | 2792 | 3350 | 4796 | 15348 |
Step1: Calculate the total number of people with just high school or only some college
Add the total number of people with high school only ($4125$) and some college ($4409$):
$$4125 + 4409=8534$$
Step2: Calculate the number of people aged 50 or over with just high school or only some college
Add the number of people aged 50 or over with high school only ($1056$) and some college ($1485$):
$$1056+1485 = 2541$$
Step3: Calculate the probability
Use the formula for probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes is the number of people aged 50 or over with just high school or only some college ($2541$), and the total number of outcomes is the number of people with just high school or only some college ($8534$).
$$P=\frac{2541}{8534}\approx0.298$$
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$0.298$