This document contains a worksheet on making predictions using theoretical probability. Students are asked to make 7 predictions, such as predicting how many times a spinner will land on a composite number in 27 spins based on the theoretical probability, or predicting how many people in a group of 200 would have voted in a city election based on a 75% turnout rate. The worksheet provides the definitions of key terms like "prediction" and examples of calculating theoretical probabilities and multiplying them by the number of trials to determine the expected frequency of an event.

1. Name __________________________________ Date _____________________
Mrs. Labuski & Mrs. RooneyPeriod _______ Lesson 11-6 Making a Prediction
VOCABULARY DEFINITION EXAMPLE
A prediction is a guess
about something in the
PREDICTION future. You can use See Below
theoretical probability to
make predictions.
Look at the spinner. How many times do you predict the spinner
will land on a composite number in 27 spins?
To find the number of times you expect to land on a composite number in 27 spins,
first find the theoretical probability of the event.
(4,6) 2 = 1
P(composite number) = 6 3
Then multiply the theoretical probability by the number of times that you carry out
the experiment.
Find _⅓_ of 27 times
1= x 3x = 27
3 27 3 3
Cross multiply x = 9
You can predict that the spinner will land on a composite number about _9__ times.

2. Number of 1. If you randomly selected a person, what is the
Sport
Students probability that his or her favorite sport is basketball?
Football 28
Basketball 35 35 = 7
Soccer 20 150 30
Baseball 45
Hockey 15
Other 7 2. In a group of 200 people, how many do you predict
Total 150 would choose baseball as their favorite sport?
45 = x 3 =x 10x = 600
150 200 10 200 x = 60
3. In a class of 45 students, how many
students do you predict would choose 6. If you roll a fair number cube 30
soccer as their favorite sport? times, how many times would you
20 = x 2 = x expect to roll an odd number?
150 45 15 45
15x = 90 3 = x 1 = x
x=6 6 30 2 30
4. In a group of 100 people, how many
do you predict would choose hockey 2x = 30
as their favorite sport? x = 15
15 = x 1 = x
150 100 10 100
10x = 100 7. A company claims that 8% of its
___________x = 10______________ customers were unhappy with the
5. A local newspaper states that 75% DVD players they bought. If the
of all the city’s voters turned out for company sold DVD players to 2,000
the city council elections. If you people last year, how many of those
randomly selected 200 people in that customers do you predict were
city, how many do you predict would unhappy with their purchases?
have voted in the election?
x = 75 x = 3
x = 75 2000 100 2000 4
2000 100 4x = 6000
x = 1500

3. Name __________________________________ Date _____________________
Mrs. Labuski & Mrs. Rooney Period _______ Lesson 11-6 Making a Prediction
VOCABULARY DEFINITION EXAMPLE
PREDICTION See Below
Look at the spinner. How many times do you predict the spinner
will land on a composite number in 27 spins?
To find the number of times you expect to land on a composite number in 27 spins,
first find the theoretical probability of the event.
P(composite number) =
Then multiply the theoretical probability by the number of times that you carry out
the experiment.
Find _____ of 27 times
You can predict that the spinner will land on a composite number about ____ times.

4. Number of 1. If you randomly selected a person, what is the
Sport
Students probability that his or her favorite sport is basketball?
Football 28
Basketball 35
Soccer 20
Baseball 45
Hockey 15
Other 7 2. In a group of 200 people, how many do you predict
Total 150 would choose baseball as their favorite sport?
3. In a class of 45 students, how many 6. If you roll a fair number cube 30
students do you predict would choose times, how many times would you
soccer as their favorite sport? expect to roll an odd number?
4. In a group of 100 people, how many
do you predict would choose hockey
as their favorite sport? 7. A company claims that 8% of its
customers were unhappy with the
DVD players they bought. If the
company sold DVD players to 2,000
people last year, how many of those
customers do you predict were
______________________________ unhappy with their purchases?
5. A local newspaper states that 75%
of all the city’s voters turned out for
the city council elections. If you
randomly selected 200 people in that
city, how many do you predict would
have voted in the election?