A. AB. BC. CD. D

Do Now

Natalie has a bag with 13 green, 4 red, 9 purple, and 6 yellow marbles. Express each probability as a percent.

1. What is the probability that a marble chosen is red?

2. What is the probability that a marble chosen is purple or green?

3. What is the probability that a marble chosen is blue?

ObjectiveSWBAT find the theoretical and experimental probability of simple events.

What is probability?

- used to measure the chance of an event happening

- ratio that compares the number of favorable outcomes to the number of possible outcomes.

What two numbers is the probability of any event between?

What two numbers is the probability of any event between?

P(event) =# of favorable outcomes# of possible outcomes

All outcomes equally likely.

All outcomes not equally likely.

1. Suppose a number cube is rolled. What is the probability of rolling an even number?

There are 3 numbers on the number cube that are even: 2, 4, and 6.There are 6 possible outcomes: 1, 2, 3, 4, 5, and 6.

Answer: The probability of rolling an even number is ½ or 50%

P(even) = # of favorable outcomes# of possible outcomes

Express the probability as a fraction and a percent.

1. P(5)

2. P(less than 4)

3. P(2 or odd)

1. Suppose a number cube is rolled. What is the probability of rolling a 1?

There is only one number 1 on the number cube.There are 6 possible outcomes: 1, 2, 3, 4, 5, and 6.

Answer: The probability of rolling a is

P(one) = # of favorable outcomes# of possible outcomes

THEORETICAL PROBABILITY - what should occur in an experiment.

1. Suppose a number cube is rolled. What is the experimental probability of rolling a 1?

EXPERIMENTAL PROBABILITY - what actually occurs when repeating a probability experiment many times.

Number Frequency

1

2

3

4

5

6

Answer: The experimental probability of rolling a one is

P (greater than 4) =

Food Frequency Percentage

PizzaHamburgersHot DogsPastaTurkey Sandwich

Write down which of the following foods is your favorite.

If the school was ordering food for 465 students, how many would be expected to eat hamburgers?

Use a Sample to Make a Prediction

Make a Prediction

SPORTS Miss Newman surveyed her class to see which sports they preferred watching. 44% preferred football, 28% basketball, 20% soccer, and 8% tennis. Out of 560 students in the entire school, how many would you expect to say they prefer watching basketball?

Understand You know that 28% prefer basketball. You need to find how many students out of 560 prefer basketball.

Plan Use the percent proportion to find 28% of 560.

Make a Prediction

partwhole

percent

Solve The percent is 28% and 560 is the whole. Let a represent the part.

Make a Prediction

Answer: You can expect about 157 students to say they prefer watching basketball.

Check Estimate: 28% is about 25%25% of 600 is 150.So, 157 is reasonable.

A. AB. BC. CD. D

A. about 6B. 29C. about 131D. 144

COLORS The students in an art class were surveyed about their favorite color. 32% preferred blue, 29% preferred red, 23% preferred yellow, and 16% preferred green. Out of 450 students in the entire school, how many would you expect to say they prefer red?