5.3 NOTES Probability of Compound Events

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, 2. choosing one math class from Algebra and

or sugar and a flavor of ice cream from Geometry and one foreign language class from

chocolate, vanilla, or strawberry French, Spanish, or Latin

3. making a sandwich from white, wheat, or 4. choosing a car that comes in white, black,

rye bread, cheddar or Swiss cheese, or red with standard or automatic

and ham, turkey, or roast beef 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)

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