IC: Ch. 10.4HW: p.425 (#5) and p.427 (#26 & 27)

Materials

Write the IC and HW in your planner.

Thursday, 4/19/18

• Pencil• Grading pen• Slate/marker/eraser• Math folder• Blood Type Wkst #1-7

• Phones need to be off and zipped up in backpacks

• Gum needs to be in the trash

• HW on your desk

20

3

total

orange

Experimental

%1515.0

10

1

total

orange

%101.0

TheoreticalThe experimental

probability is

higher than the

theoretical.

The bar graph shows the

results of drawing a marble

from a bag with 3 blue, 2 reds,

1 green, 2 yellow, 1 orange

and 1 purple 20 times.

Compare the theoretical and

experimental probabilities of

drawing orange.

Which probability is theoretical and

which is experimental? How do you

know?

3) What is the difference between “theoretical” and

“experimental” probability? Please explain in complete

sentences.

1) Look at the list of numbers below. What is the

probability of randomly choosing an ODD number? Write your answer as a fraction, decimal, and percent.

2, 5, 6, 9, 13, 16, 22, 25, 27, 31

2) Would the probability you found in #1 be called

theoretical probability or experimental probability? How

do you know?

(On small passwords first!!!)

Easiest example:

(1, 2, 3) (1, 2, 3)

It’s a 2-digit password that only

uses 1, 2, or 3.

Organized List:

Make a list of

all the possible

2-digit

passwords that

only use 1,2,3.

a) How many passwords can be made? _________

b) What is the probability that you guess the password on the first try? ______

1, 1

1, 2

1, 3

2, 1

2, 2

2, 3

3, 1

3, 2

3, 3

9

9

1

= 93 3

(On small passwords first!!!)

Little bit harder

example:(1, 2, 3) (1, 2, 3)

It’s a 3-digit password

that only uses 1, 2, or 3.

Organized List:

Make a list of

all the possible

3-digit

passwords that

only use 1,2,3.

(1, 2, 3)

a) How many passwords can be made? _________

b) What is the probability that you guess the password on the first try? ______

1, 1, 11, 1, 2

1, 1, 3

1, 2, 1

1, 3, 1

1, 2, 3

1, 3, 2

1, 2, 2

1, 3, 3

2, 2, 22, 1, 2

2, 1, 3

2, 2, 1

2, 3, 1

2, 2, 3

2, 3, 2

2, 1, 1

2, 3, 3

3, 3, 33, 1, 2

3, 1, 3

3, 2, 1

3, 3, 1

3, 2, 3

3, 3, 2

3, 1, 1

3, 2, 2

= 273 3 3

27

27

1

Can you figure out a way to find the # of passwords without

making a list?

Little bit harder

example: (1, 2, 3) (1, 2, 3) (1, 2, 3)

Easiest example:

(1, 2, 3) (1, 2, 3)

3 3 = 9 total passwords

HOW?

x

3 3 = 27 total

passwords

HOW?

x 3x

Figure out the # of options for each slot and

then multiply those numbers together!

1) There are ______ possible outcomes for the

first wheel.

2) There are _____ possible outcomes for the

second wheel.

3) There are ______ possible outcomes for the

third wheel.

4) How many possible lock combinations are

there?

Task 1:

This lock has 3 wheels. Each wheel is numbered

from 0 to 9.

5) What is the probability of guessing the combination on the first try?

(Write your answer as a fraction, decimal, and percent.)

This lock is numbered 0 to 39. Each combination

uses three numbers in a right, left, right pattern.

1) How many choices are there for the first

number? ________

2) How many choices are there for the second

number? _________

3) How many choices are there for the third

number? ________

4) How many combinations are possible for this

lock? Prove it with math!

Task 2:

5) What is the probability of guessing the combination on the first try?

(Write your answer as a fraction, decimal, and percent.)

Task 3:

1) How many different license plates

can be made in California that follow this

same format?

2) How many different license plates

can be made in Alaska that follow this

same format?

3) Why do you think California has 7 slots on its license plate and

Alaska only has 6 slots? Why wouldn’t they be the same?

Number of motor vehicle registrations in the U.S. in 2014, by state.Task 4:

Delaware has a license plate

with no letters. Could Arizona

have a license plate like that?

Prove it with math.

Number of motor vehicle registrations in the U.S. in 2014, by state.Task 5:

If California chose to switch to a

license plate with only letters,

what is the minimum number of

letters they would have to

require to make sure they have

enough plates for all their

registered vehicles? Justify

your answer.

Task 6:

Which is a better password?

A) 4 letters (case doesn’t matter) and 4 numbers

OR

B) 2 case-sensitive letters and 6 numbers?

Justify your answer with math!!!

Every time you have to create a password you

need to take into account its strength.

letter

1) Suppose we are creating a PIN for our saving account. The PIN must

have 4 digits, and the numbers may repeat. How many different PIN

numbers can be created?

2) A 5-letter password is composed of two unique letters (two letters that

can’t be used more than once) and then the last three can have repeats.

Write an expression to represent the number of different passwords that

can be created.

digit digit digit digit

letter letter letter letter

Task 7:

Tree Diagram Example for Flipping a Coin

1. Create a tree diagram about choosing an outfit from the following choices:

Pants: jeans, khakis, black Shirts: red, yellow, orange

Shoes: tennis, flip-flops

2. Create a tree diagram for the number of ways that you can arrange the

letters for the word MATH.

IC: Ch. 10.3HW: Blood Type Wkst #1-7

2

34

5

6

7 8

345

6

7

9

8

4

56

7 8

10

9

5

67

9

8

11

10

6

7 8

10

9

12

11

7

4) What has a higher

probability of happening?

Rolling a sum of 4 or a sum

of 9? Explain how you know.

5) What would it be like to play the game if the rules were

changed so that you get a zero when you roll a sum of 2

instead of an 8?It would be very unlikely to get your

points wiped out if the game were

called “Anything But Two”.

Rolling a sum of 9 has a higher

probability of happening

because there are 4 ways of

making a 9, but only 3 ways of

making a sum of 4.

The bar graph shows the

results of drawing a

marble from a bag with 3

blue, 2 reds, 1 green, 2

yellow, 1 orange and 1

purple 20 times.

Compare the theoretical

and experimental

probabilities of the event.

Drawing blue:

5

1

20

4

total

blue

Experimental

%202.0

10

3

total

blue

%303.0

Theoretical

The experimental

probability is lower

than the

theoretical.