today in geometry… what’s next…concepts covered before semester finals! learning goal: you...
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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