1 pre-algebra experimental probability. 2 let’s experiment!! pretend that you have a number cube....

1

Pre-AlgebraPre-Algebra

Experimental ProbabilityExperimental Probability

2

Let’s Experiment!!Let’s Experiment!! Pretend that you Pretend that you

have a number have a number cube.cube.

You are going to roll You are going to roll it one time.it one time.

What is the What is the theoretical theoretical probability of probability of getting each getting each number?number?

P(1)P(1)

P(2)P(2)

P(3)P(3)

P(4)P(4)

P(5)P(5)

P(6)P(6)

3

Let’s Experiment!Let’s Experiment!

You are going to conduct a probability You are going to conduct a probability experiment!experiment!

You are going to toss a dice 30 times.You are going to toss a dice 30 times.

Record the number of times each number Record the number of times each number appears!!appears!!

4

Based on the results of your Based on the results of your experiment, find the experimental experiment, find the experimental

probability of each event.probability of each event. P(1)P(1)

P(2)P(2)

P(3)P(3)

P(4)P(4)

P(5)P(5)

P(6)P(6)

5

Answer me this!!Answer me this!!

How did you find the experimental How did you find the experimental probability?probability?

In your own words, what is experimental In your own words, what is experimental probability?probability?

What is the difference between theoretical What is the difference between theoretical and experimental probability?and experimental probability?

6

What Are You Learning?What Are You Learning?

I CAN find the I CAN find the experimental experimental probability.probability.

7

Why Do You Need To Know Why Do You Need To Know This?This?

Experimental Experimental Probability is useful in Probability is useful in finding the number of finding the number of outcomes for various outcomes for various real life experiments.real life experiments.

8

There are cards numbered 1-10 in a bag. You There are cards numbered 1-10 in a bag. You pick one card at random. Find the theoretical pick one card at random. Find the theoretical

probability of each event.probability of each event.

P(1)P(1) P(2)P(2) P(3)P(3) P(4)P(4) P(5)P(5) P(6)P(6)

P(7)P(7) P(8)P(8) P(9)P(9) P(10)P(10) P(even #s)P(even #s) P(odd #s)P(odd #s)

9

Let’s Experiment!!Let’s Experiment!!

Each group has a baggie with the Each group has a baggie with the numbers 1-10 inside.numbers 1-10 inside.

One member of the group needs to One member of the group needs to pick a number, record the number, pick a number, record the number, and replace the number in the bag.and replace the number in the bag.

This needs to be done 20 times. Be This needs to be done 20 times. Be sure to record your results after each sure to record your results after each pick.pick.

10

Based on the results of your Based on the results of your experiment, find the experimental experiment, find the experimental

probability of each event.probability of each event. P(1)P(1) P(2)P(2) P(3)P(3) P(4)P(4) P(5)P(5) P(6)P(6)

P(7)P(7) P(8)P(8) P(9)P(9) P(10)P(10) P(even #s)P(even #s) P(odd #s)P(odd #s)

11

Answer me this!!Answer me this!!

How did you find the experimental How did you find the experimental probability?probability?

In your own words, what is In your own words, what is experimental probability?experimental probability?

What is the difference between What is the difference between theoretical and experimental theoretical and experimental probability?probability?

12

VocabularyVocabulary

Experimental ProbabilityExperimental Probability——

number of times an event occursnumber of times an event occurs

number of times experiment is number of times experiment is donedone

13

Two number cubes are rolled 75 Two number cubes are rolled 75 times and a sum of 9 is rolled 10 times and a sum of 9 is rolled 10

times.times. What is the experimental probability What is the experimental probability

of rolling a sum of 9?of rolling a sum of 9?

P(9) = P(9) = # of times a sum of 9 occurs# of times a sum of 9 occurs

# of possible outcomes# of possible outcomes

14

That’s My Favorite That’s My Favorite Color!!Color!!

A spinner is spun 50 times A spinner is spun 50 times and it lands on the color and it lands on the color blue 15 times. blue 15 times.

What the experimental What the experimental probability of spinning blue?probability of spinning blue?

15

The graph shows the results of an The graph shows the results of an experiment in which a coin was tossed experiment in which a coin was tossed

30 times. 30 times.

What is the What is the experimentaexperimental and l and theoretical theoretical probability probability of tossing of tossing tails?tails?

02468

1012141618

Number of Tosses

Heads Tails

Coin Faces

You Call It!

16

The graph shows the results of an The graph shows the results of an experiment in which a number is rolled experiment in which a number is rolled

30 times. 30 times.

What is the What is the experimentaexperimental and l and theoretical theoretical probability probability of rolling a of rolling a 5? 5?

012345678

Number of Rolls

1 2 3 4 5 6

Number

# of Rolls

17

In a survey, 100 people were asked In a survey, 100 people were asked to name their favorite to name their favorite

Independence Day side dishes. Independence Day side dishes. What is the What is the

experimental experimental probability of probability of macaroni macaroni salad being salad being someone’s someone’s favorite dish? favorite dish?

Side DishSide Dish # of # of peoplepeople

Potato Potato SaladSalad

5555

Green Green salad or salad or vegetablevegetabless

2525

Macaroni Macaroni SaladSalad

1212

ColeslawColeslaw 88

18

In a survey, 50 people were asked In a survey, 50 people were asked to pick which movie they would to pick which movie they would

see this weekend. see this weekend. 20 chose 20 chose Horror Horror

StoryStory

15 chose 15 chose The Ink The Ink WellWell

10 chose 10 chose The The Monkey HouseMonkey House

5 chose 5 chose Little RabbitLittle Rabbit. .

What is the What is the experimental experimental probability of probability of someone someone wanting to wanting to see see The The Monkey Monkey HouseHouse??

19

Class WorkClass Work

Sheet 9-6Sheet 9-6