Transcript Simple Probability Simple Probability_7.ppsx

TODAY IN GEOMETRY…
 What’s next…concepts covered before
Semester Finals!
 STATs for Ch.9 Test
 Learning Goal: You will find the probability
for simple events
 Independent practice
 AT – Ch.5 Test Retakes
WHAT’S NEXT…
FINALS!!!
HOW DID YOU “SHAPE” UP??
Results for ALL of my Geometry classes:
GRADE
A
B
C
D
F
NUMBER OF STUDENTS WHO TOOK THE CH.9 TEST (36 pts.)
1ST PERIOD
2ND PERIOD
4TH PERIOD
6TH PERIOD
TOTAL
16
4
1
2
2
19
2
2
1
2
13
2
3
4
1
18
3
0
1
1
66
11
6
8
6
Avg 31.92 32.46 30.39 33.17 31.99
SIMPLE PROBABILITY:
𝑃 𝑎 =
𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑓𝑎𝑣𝑜𝑟𝑎𝑏𝑙𝑒 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠
𝑡𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠
Finding Outcomes for simple events:
Event
Number of outcomes
• One die
1, 2, 3, 4, 5, 6
𝟔 𝒐𝒖𝒕𝒄𝒐𝒎𝒆𝒔
• One coin
heads, tails
𝟐 𝒐𝒖𝒕𝒄𝒐𝒎𝒆𝒔
• Deck of cards
A,K,Q,J,1-10 (4 of each)
𝟓𝟐 𝒐𝒖𝒕𝒄𝒐𝒎𝒆𝒔
PRACTICE: Find the probabilities of the following events.
5
1. 𝑃 𝑟𝑒𝑑 =
12
1
2. 𝑃 𝑦𝑒𝑙𝑙𝑜𝑤 =
12
3
1
3. 𝑃 𝑔𝑟𝑒𝑒𝑛 =
=
12
4
1
4. 𝑃 6 =
6
1
5. 𝑃 1 =
6
1
6. 𝑃 3 =
6
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?
Flip to a HEAD:
H1
H2
H3
H4
H5
H6
There are a total of 12 OUTCOMES.
Flip to a TAILS:
T1
T2
T3
T4
T5
T6
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
2
x
MEAT
x
SIDE
3
𝟐 𝒙 𝟑 𝒙 𝟑 = 𝟏𝟖 𝒕𝒐𝒕𝒂𝒍 𝒐𝒖𝒕𝒄𝒐𝒎𝒆𝒔
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
2
x
COLOR
x
5
2 𝑥 5 𝑥 3 = 30 𝑐ℎ𝑜𝑖𝑐𝑒𝑠
MODEL
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
2
x
ICE CREAM
x
3
2 𝑥 3 𝑥 4 = 24 𝑐ℎ𝑜𝑖𝑐𝑒𝑠
TOPPING
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 𝑥 ___
7 𝑥 ___
6 𝑥 ___
5 𝑥 ___
4 𝑥 ___
3 𝑥 ___
2 𝑥 ___
1
___
= 𝟒𝟎, 𝟑𝟐𝟎
𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡 𝑤𝑎𝑦𝑠 𝑡ℎ𝑒 𝑠𝑡𝑢𝑑𝑒𝑛𝑡𝑠 𝑐𝑜𝑢𝑙𝑑 𝑠𝑡𝑎𝑛𝑑
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 𝑥 ___
9 𝑥 ___
8 𝑥 ___
7 𝑥 ___
6
___
= 𝟑𝟎, 𝟐𝟒𝟎
𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡 𝑤𝑎𝑦𝑠 𝑎 𝑝𝑎𝑠𝑠𝑐𝑜𝑑𝑒 𝑐𝑜𝑢𝑙𝑑 𝑏𝑒 𝑚𝑎𝑑𝑒
HOMEWORK 1:
Probability WS #1