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just high school or only some college is chosen at random, what is the …

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 - 29age 30 - 39age 40 - 49age 50 & overtotal
some college1167531122614854409
bachelors degree134259475511163807
masters degree97045444411393007
total441027923350479615348

Explanation:

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 ($8534$).
$$P=\frac{2541}{8534}\approx0.298$$

Answer:

$0.298$