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7th Grade Unit 8 – Study Guide
1. A number cube numbered 1–6 is rolled once.
a. How likely is it that you would randomly roll a number greater than 6?
b. How likely is it that you would roll an even number?
c. How likely is it that you would roll a five?
d. What would be an example of something that would have certain probability?
2. Connie is eating with friends at a restaurant. Of the 50 people she sees in the restaurant, 10 are
wearing blue jeans, and 40 are not. What is the experimental probability that the next person to
come into the restaurant will be wearing blue jeans? Write your answer as a fraction, a decimal,
and a percent.
3. Decide whether each set of events is independent or dependent. Explain your answer.
a) A boy chooses a sock from a drawer of socks, then chooses a second sock without replacing
the first.
b) A student picks a raffle ticket from a box, replaces the ticket, then picks a second raffle
ticket.
4. For breakfast, Armando has a choice of pancakes, eggs, or cereal and a choice of milk, hot cocoa, or
juice. What are all the possible choices of breakfast he can have? How many outcomes are in the
sample space?
5. A bowl has 4 peaches and 6 oranges. A second bowl has 2 peaches and 4 oranges.
a) You randomly choose 1 piece of fruit from the first bowl and 1 piece of fruit from the second
bowl. What is the probability that both are peaches?
b) You randomly choose a piece of fruit from the first bowl, do not replace it, and randomly
choose a second piece from the same bowl. What is the probability that both pieces of fruit are
oranges?
6. Each student in a class of 38 students was asked to report how many siblings (brothers and
sisters) he or she has. The data are summarized in the table below.
Part A. Based on the data, what is the probability that a randomly selected student from this class is an
only child?
Part B. Based on the data, what is the probability that a randomly selected student from this class has
three or more siblings?
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