HSPA Math Macro 3a:
Probabilities of simple and compound events
Sample Multiple-choice
Items
A pair of dice is thrown. What is the
probability of not throwing
a double?
A drawer contains 4 red pens, 5 blue
pens, and 2 black pens. If you reach into the drawer without looking
and pull out a pen for you and a pen for your work partner, what
is the probability that the first pen will be blue and the second
pen will be black?
You and 5 friends go on a roller coaster
in which each car holds a pair. How many different pairs can you
and your friends create for the ride?
In the Lucky Sevens Lottery, 100 numbered
tokens (1-100) are mixed in a box. A lottery agent then picks 10
of the tokens from the box. Each time a token is removed, it remains
outside the box. Thirty-four of the tokens contain the digit 7.
If three numbers with the number 7 are picked in a row, you win!
The agent picks 7 tokens, none of which have 7s. What is the probability
that the agent will pick 3 tokens in a row with the digit 7, making
you a winner?
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(7/100)(6/100)(5/100) |
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(7/34)(6/34)(6/34) |
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(34/100)(33/99)(32/98) |
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(34/93)(33/92)(32/91) |
A local man has a property that is 600
feet wide and 200 feet long. His house is 50 feet wide by 30 feet
long. He is away on vacation but his neighbor just called to tell
him that lightning struck his property, but he does not know where.
What is the probability that lightning struck his home? (Assume
that lightning is equally likely to strike anywhere on the property-
there is nothing that would attract or repel lightning anywhere
on his property.)
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