Example 5.56 from Prealgebra, 5.5 Averages and Probability

Averages and Probability: example 5.56

The ski club is holding a raffle to raise money. They sold $100$ tickets. All of the tickets are placed in a jar. One ticket will be pulled out of the jar at random, and the winner will receive a prize. Cherie bought one raffle ticket.

ⓐ Find the probability she will win the prize.

ⓑ 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.

Ignaly is attending a fashion show where the guests are seated at tables of ten. One guest from each table will be selected at random to receive a door prize. ⓐ Find the probability Ignaly will win the door prize for her table. ⓑ 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 Cherie wins the prize.
What is the number of favorable outcomes?	1, because Cherie has 1 ticket.
Use the definition of probability.	$Probability of an event = \frac{number of favorable outcomes}{total number of outcomes}$
Substitute into the numerator and denominator.	$Probability Cherie wins = \frac{1}{100}$

ⓐ
What are you asked to find?	The probability Cherie wins the prize.
What is the number of favorable outcomes?	1, because Cherie has 1 ticket.
Use the definition of probability.	$Probability of an event = \frac{number of favorable outcomes}{total number of outcomes}$
Substitute into the numerator and denominator.	$Probability Cherie wins = \frac{1}{100}$

Averages and Probability: example 5.56

Solution

Your turn

Averages and Probability: example 5.56

Solution

Your turn

ⓑ
Convert the fraction to a decimal.
Write the probability as a fraction.	$Probability = \frac{1}{100}$
Convert the fraction to a decimal.	$Probability = 0.01$