Example 5.57 from Prealgebra, 5.5 Averages and Probability

Averages and Probability: example 5.57

Three women and five men interviewed for a job. One of the candidates will be offered the job.

ⓐ Find the probability the job is offered to a woman.

ⓑ Convert the fraction to a decimal.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

A bowl of Halloween candy contains $5$ chocolate candies and $3$ lemon candies. Tanya will choose one piece of candy at random. ⓐ Find the probability Tanya will choose a chocolate candy. ⓑ Convert the fraction to a decimal.

How did it go?

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

ⓐ
What are you asked to find?	The probability the job is offered to a woman.
What is the number of favorable outcomes?	3, because there are three women.
What are the total number of outcomes?	8, because 8 people interviewed.
Use the definition of probability.	$Probability of an event = \frac{number of favorable outcomes}{total number of outcomes}$
Substitute into the numerator and denominator.	$Probability = \frac{3}{8}$

ⓐ
What are you asked to find?	The probability the job is offered to a woman.
What is the number of favorable outcomes?	3, because there are three women.
What are the total number of outcomes?	8, because 8 people interviewed.
Use the definition of probability.	$Probability of an event = \frac{number of favorable outcomes}{total number of outcomes}$
Substitute into the numerator and denominator.	$Probability = \frac{3}{8}$

Averages and Probability: example 5.57

Solution

Your turn

Averages and Probability: example 5.57

Solution

Your turn

ⓑ
Convert the fraction to a decimal.
Write the probability as a fraction.	$Probability = \frac{3}{8}$
Convert the fraction to a decimal.	$Probability = 0.375$