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NAME __________________________________________ DATE _____________ PERIOD ________
7th Grade PreAP
5.3 NOTES
Probability of Compound Events
For each situation, determine the sample space. Use a list or tree diagram.
1.
choosing an ice cream cone from waffle, plain,
or sugar and a flavor of ice cream from
chocolate, vanilla, or strawberry
2.
choosing one math class from Algebra and
Geometry and one foreign language class from
French, Spanish, or Latin
3.
making a sandwich from white, wheat, or
rye bread, cheddar or Swiss cheese,
and ham, turkey, or roast beef
4.
choosing a car that comes in white, black,
or red with standard or automatic
transmission and with a 4-cylinder or
6-cylineer engine
For each situation, determine the sample space. Then determine the indicated probability.
5.
rolling 2 number cubes; P(rolling doubles)
6.
tossing a penny twice; P(two tails)
Course 2 • Chapter 5 Apply Proportionality to Probability
7th Grade PreAP- Lesson 5.3 HW
1. Craig stops at a gas station to fill his gas tank. He
must choose between full-service or self-service
and between regular, mid-grade, and premium
gasoline. Draw a tree diagram showing the
possible combinations of service and gasoline
type. How many possible combinations are there?
2. Lorelei tosses a coin 4 times. Draw a tree
diagram showing the possible outcomes. What is
the probability of getting at least 2 tails?
3. In Exercise 2, what is the probability of getting 2
heads, then 2 tails?
4. The computer accessory that Grace is considering
selling at her store comes in white, beige, gray, or
black and as an optical mouse, mechanical mouse,
or trackball. How many combinations of color and
model must she stock in order to have at least one
of every possible combination? Make a list.
5. Christina tossed a die onto a
black-and-red checkerboard. What is
the probability that it will land with a
value greater than 3 and on a red square?
6. The game show contestant spins a
spinner with the letters A through E
on it, then either an easy or hard
question is picked randomly for her.
What is the probability that the
spinner will stop on the letter F and she is given an
easy question?
7. The computer repairman is given 7
computers to fix. He knows that
among them are 5 bad video cards
and 3 failed hard drives. What is the
probability that the first computer he tries has both
problems?
8. Ashley wrote a computer program
that generates two random numbers
between one and 11. When she runs
it, what is the probability that both values will be 10?
Course 2 • Chapter 5 Apply Proportionality to Probability