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Chapter 4: Problem 29

In a group of 50 car owners, 8 own hybrid cars. If one car owner is selected at random from this group, what is the probability that this car owner owns a hybrid car?

Short Answer

Expert verified
The probability that a randomly selected car owner from this group owns a hybrid car is \(\frac{8}{50}\), which simplifies to \(\frac{4}{25}\) or 0.16 when expressed as a decimal.

Step by step solution

01

Understand the problem

In a group of 50 car owners, 8 own hybrid cars. If one car owner is selected at random from this group, the task is to find out the probability that this car owner owns a hybrid car.
02

Establish the total number of outcomes

The total number of outcomes is the total number of car owners in the group, which is 50.
03

Establish the number of successful outcomes

The number of successful outcomes is the number of car owners who own hybrid cars, which is 8.
04

Calculate the probability

The probability of an event happening is given by the formula: \[ \frac{Number\:of\:successful\:outcomes}{Total\:number\:of\:outcomes} \]. So, put the numbers in place: \[\frac{8}{50}\].

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