IC: Ch. 10.4 HW: Extra Credit Materials Friday, 4/21/17 Write the IC and HW in your planner. IC: Ch. 10.4 HW: Extra Credit Materials Pencil Grading pen Slate/marker/eraser Math folder Blood Type Wkst #1-7 1

Bellwork on slates Phones need to be off and zipped up in backpacks Gum needs to be in the trash HW on your desk to be stamped

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. 6 4 4 3 2 1 Drawing blue: Experimental Theoretical The experimental probability is lower than the theoretical.

Let's start hacking! (On small passwords first!!!) Easiest example: It’s a 2-digit password that only uses 1, 2, or 3. (1, 2, 3) (1, 2, 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? ______

Let's start hacking! (On small passwords first!!!) Little bit harder example: It’s a 3-digit password that only uses 1, 2, or 3. (1, 2, 3) (1, 2, 3) (1, 2, 3) Organized List: Make a list of all the possible 3-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? ______

Hmmm...what's goin' on? Slot Method Can you figure out a way to find the # of passwords without making a list? 3 x 3 = 9 total passwords Easiest example: (1, 2, 3) (1, 2, 3) HOW? 3 x 3 x 3 Little bit harder example: = 27 total passwords (1, 2, 3) (1, 2, 3) (1, 2, 3) HOW? Slot Method Figure out the # of options for each slot and then multiply those numbers together!

This lock has 3 wheels. Each wheel is numbered from 0 to 9. Task 1: This lock has 3 wheels. Each wheel is numbered from 0 to 9. There are ______ possible outcomes for the first wheel. There are _____ possible outcomes for the second wheel. There are ______ possible outcomes for the third wheel. How many possible lock combinations are there? 5) What is the probability of guessing the combination on the first try? (Write your answer as a fraction, decimal, and percent.)

Task 2: This lock is numbered 0 to 39. Each combination uses three numbers in a right, left, right pattern. How many choices are there for the first number? ________ How many choices are there for the second number? _________ How many choices are there for the third number? ________ How many combinations are possible for this lock? Prove it with math! 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: Every time you have to create a password you need to take into account its strength. 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!!!

Task 7: 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? digit digit digit digit 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. letter letter letter letter letter

Tree Diagram Example for Flipping a Coin 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.