Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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 A LEGO action figure is created for visitors
that tour a factory. Each figure consists of a randomly chosen set of legs, body, head, and
hair/hat. The following table shows the available options for each category.
If
each option is equally likely within each category what is the probability that the LEGO figure does
NOT have blue legs but has a red body?
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2.
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| What is the expected value of the spinner shown? | | | |
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3.
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A person accidentally dropped a quarter, a
dime, and a penny. Which tree diagram represents the correct possible outcomes of how the 3 coins
landed?
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4.
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A high school spends approximately $9,000 hosting a football
games (e.g. the hourly pay for staff, the electricity, water usage, etc.). The school usually
collects $15,000 in ticket sales and vending if it doesn’t rain. If it rains during the
game the school only collects about $5,000. During any day during football season there is
about a 12% chance of rain.
What is the expected net income for the
school for a football game?
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a. | $2,700 | c. | $8,520 | b. | $4,800 | d. | $14,000 |
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5.
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The following shows a corn maze for
participants to walk through. The participants can only go forward and when there is a fork in the
path you may assume that people are equally likely to take any one of the paths. It costs $5 to
enter the maze and each participant gets $10 if they come out in a prize area.
Using a tree diagram or an area
model determine the probability that a participant wins money?
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6.
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An insurance company charges a customer $1600 per year for a
particular customer’s auto insurance. The company has predicted that there is a 10%
chance the person will make a claim of on the policy of $5000 (which means the insurance company
would lose $3400) and 90% chance that they won’t make a claim. What can the insurance
company on average expect to make on selling this policy?
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a. | $940 | c. | $1100 | b. | $1020 | d. | $2900 |
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