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Extra Practice
Chapter 4 Review
1. Explain the difference between
experimental probability, theoretical
probability, and subjective judgement.
Explain a situation where each may be
found.
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2. There are two bags of gumballs. The
first bag contains 3 red, 2 yellow, and 1
blue gumball. The second bag contains 1
green, 4 yellow, and 1 red gumball. You
randomly pull a gumball from each bag.
a) Draw a tree diagram of all possible
outcomes.
BLM 4R
c) What is the theoretical probability of
receiving the following?
• P(Red, Green) ________________
• P(Yellow, Yellow) ____________
• P(Blue, Red) _________________
• P(Yellow, Green) _____________
3. Conduct an experiment of 10, 20, and 30
trials to simulate question 2. When was
the experimental probability of receiving
two red gumballs closest to the
theoretical probability? Why?
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4. Antonia has a box of different coloured
markers. There are 3 blue, 1 red, 1
orange, and 2 black markers.
What is the probability of randomly
selecting the following colours in order
if she replaces each marker before
selecting another one? Indicate the
multiplication with fractions.
a) P(Blue, Blue)
______________________________
b) P(Red, Black)
______________________________
b) Draw a table of all possible
outcomes.
c) P(Blue, Orange, Black)
______________________________
d) P(Orange, Red, Blue)
______________________________
e) P(Blue, Blue, Blue)
______________________________
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This page may be reproduced for classroom use by the purchaser of this book without the written permission of the publisher.
Name _________________________________
5. Recalculate the probabilities from
question 4, assuming Antonia does not
return the selected marker before
choosing the next one.
a) P(Blue, Blue)
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7. Shivam wrote the numbers 1, 1, 1, 1, 2,
2, 2, 3, 3, 4 on slips of paper and put
them in a hat. Calculate each probability.
a) Drawing the number 1? __________
b) Drawing the number 2? __________
______________________________
b) P(Red, Black)
______________________________
c) P(Blue, Orange, Black)
______________________________
d) P(Orange, Red, Blue)
______________________________
e) P(Blue, Blue, Blue)
______________________________
6. In some board games, if you roll doubles
you get to roll again.
a) On a separate sheet of paper, create a
table of all the possibilities of sums
of two number cubes. Indicate where
the doubles are found in your table.
b) What is the probability of rolling
doubles once?
______________________________
c) What is the probability of rolling
doubles twice in a row?
______________________________
d) What is the probability of rolling
doubles three times in a row?
______________________________
c) Drawing an odd number? _________
d) Drawing an even number? ________
e) Drawing any number except 4? ____
8. In a board game, you need to roll a 5
with 2 number cubes to avoid landing on
certain spaces.
a) Using the table of sums in question
6, what is the probability of rolling a
5?
______________________________
b) What is the probability of rolling
more than 5? Less than 5?
______________________________
1
are green,
2
15% are red, 10% are purple, 20% are
orange, and 5% are yellow.
9. There is a bag of lollipops.
a) What is the minimum number of
lollipops in the bag?
______________________________
b) How many of each colour is in the
bag?
______________________________
Copyright© 2006 McGraw-Hill Ryerson Limited, a subsidiary of the McGraw-Hill Companies.
This page may be reproduced for classroom use by the purchaser of this book without the written permission of the publisher.