TODAY IN GEOMETRY…

What’s next…concepts covered before Semester Finals!

Learning Goal: You will find the probability for simple events

Independent practice

AT – Ch.5 Test Retakes

WHAT’S NEXT…

FINALS!!!

SIMPLE PROBABILITY:

𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑓𝑎𝑣𝑜𝑟𝑎𝑏𝑙𝑒𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠𝑡𝑜𝑡𝑎𝑙𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠

Finding Outcomes for simple events:Event Number of outcomes

• One die 1, 2, 3, 4, 5, 6

• One coin heads, tails

• Deck of cards A,K,Q,J,1-10 (4 of each)

𝟔𝒐𝒖𝒕𝒄𝒐𝒎𝒆𝒔

𝟐𝒐𝒖𝒕𝒄𝒐𝒎𝒆𝒔

𝟓𝟐𝒐𝒖𝒕𝒄𝒐𝒎𝒆𝒔

PRACTICE: Find the probabilities of the following events.

1.

2.

3.

4.

5.

6.

512112312¿14

161616

FINDING OUTCOMES OF MORE THAN ONE EVENT:

EXAMPLE: You have a coin and a 6-sided die. If you flip the coin and roll the die, how many possible outcomes are there?

There are a total of 12 OUTCOMES.

Flip to a HEAD:

H1H2H3H4H5H6

Flip to a TAILS:

T1T2T3T4T5T6

FINDING OUTCOMES OF MORE THAN ONE EVENT:EXAMPLE: At football games, a student concession stand sells sandwiches on either wheat or rye bread. The sandwiches come with salami, turkey, or ham, and either chips, a brownie, or fruit.

18 total outcomes

FUNDAMENTAL COUNTING PRINCIPLE:To find the total outcomes of more than one event, multiply the possible choice together.

EXAMPLE: At football games, a student concession stand sells sandwiches on either wheat or rye bread. The sandwiches come with salami, turkey, or ham, and either chips, a brownie, or fruit.

BREAD x MEAT x SIDE2 3 3

EXAMPLE: You are buying a new car. You can either choose a sedan or a hatchback, then choose the colors: black, red green, blue or light blue, then choose the model: GL, SS, or SL. How many total choices of cars do you have?

BODY STYLE x COLOR x MODEL

2 5 3

PRACTICE: You want ice cream. You can either choose a sugar or a waffle cone, then choose the flavors: vanilla, chocolate, or strawberry then choose the topping: sprinkles, chocolate syrup, peanuts, or gummy bears. How may total choices of ice cream do you have?

CONE x ICE CREAM x TOPPING2 3 4

EXAMPLE: There are 8 students in the Algebra Club at Central High School. The students want to stand in line for their yearbook picture. How many different ways could the 8 students stand for their picture?

There are 8 positions to fill. To fill the first one, there are 8 choices of students. To fill the next position, there are 7 choices.To fill the next position, there are 6 choice…etc…

___ ___ ___ ___ ___ ___ ___ ___8 7 6 5 4 3 2 1

PRACTICE: Jim was given a new smartphone with a 5-digit passcode. The passcode could contain any digit number between 0-9, but each number cannot be repeated. How many different combinations can Jim have for his passcode?

There are 5 positions to fill. To fill the first one, there are 10 choices of numbers. To fill the next position, there are 9 choices.To fill the next position, there are 8 choice…etc…

___ ___ ___ ___ ___ 10 9 8 7 6

HOMEWORK 1:

Probability WS #1