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Chapter 4: Problem 30

Out of the 3000 families who live in a given apartment complex in New York City, 600 paid no income tax last year. What is the probability that a randomly selected family from these 3000 families did pay income tax last year?

Short Answer

Expert verified
The probability that a randomly selected family paid their income tax last year is \(0.8\) or \(80\%\)

Step by step solution

01

Identify the total number of outcomes

The total number of outcomes is the total number of families living in the apartment complex which is 3000.
02

Understand the event we are interested in

The event we are interested in is that a randomly selected family paid their income tax last year. To find out the number of families who paid, we subtract the number of families who did not pay any tax from the total number of families. That is, \(3000 - 600 = 2400\)
03

Calculate the probability

The probability of an event occurring is the number of ways that event can occur, divided by the total number of outcomes. Here, the probability that a family paid their income tax last year is the number of families who did so, divided by the total number of families. This equals \(2400 梅 3000 = 0.8 \) when rounded to one decimal place.

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Most popular questions from this chapter

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