warm up please have your homework out! · adv lesson 5.4 and 6.3 (7th grade book) making...
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Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
12
125
Determine if the events are dependent or independent.
1) getting tails on a coin toss and rolling a 6 on a die
2) getting 2 red gumballs out of a gumball machine
The letters in the word dependent are placed in a box.
3) If 2 letters are chosen at random, what is the probability that they will both be consonants?
4) If 2 letters are chosen at random, what is the probability that they will both be consonants or both be vowels?
Dep.
Ind.
Warm Up1/10/17
Please have your homework out!
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
MakingDecisions andPredictions
Probability can be used to make decisions or predictions. Use the probability of an event's occurring to set up a proportion to find the number of times an event is likely to occur.
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
2 75 = 150.
150 ÷ 10 = 15
2 75 = 150.
150 ÷ 10 = 15
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
2 75 = 150.
150 ÷ 10 = 15
2 75 = 150.
150 ÷ 10 = 15
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
24100 550
X
13,200 ÷ 100
= 132 customers
Click
A baseball player reaches first base 30% of the times he is at bat. Out of 50 times at bat, about how many times will the player reach first base?
30100 50
X
150 ÷ 100 = 15
15 times
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Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
3x = 150
3x = 1503 3
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You Try..!
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
Try this one...
No. The prediction is low. About 1,009 out of 16,824 will be returned.
All 2,000 customers at a gym are randomely assigned a 3-digit security code that they use to access their online accounts. The codes are made up of the digits 0 through 4, and the digits can be repeated. Is it likely that fewer than 10 of the customers are isseued the code 103?
Challenge..!
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
All 2,000 customers at a gym are randomely assigned a 3-digit security code that they use to access their online accounts. The codes are made up of the digits 0 through 4, and the digits can be repeated. Is it likely that fewer than 10 of the customers are issued the code 103?
Challenge..!
0-4 0-4 0-4. .
All 2,000 customers at a gym are randomely assigned a 3-digit security code that they use to access their online accounts. The codes are made up of the digits 0 through 4, and the digits can be repeated. Is it likely that fewer than 10 of the customers are isseued the code 103?
Challenge..!
0-4 0-4 0-4. .
1251
2,000X
125x = 2000
x = 16
Set Up a Proportion
15
15
15
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
All 2,000 customers at a gym are randomely assigned a 3-digit security code that they use to access their online accounts. The codes are made up of the digits 0 through 4, and the digits can be repeated. Is it likely that fewer than 10 of the customers are isseued the code 103?
Challenge..!
0-4 0-4 0-4. . 1
515
15
1125
1251
2,000X
125x = 2000
x = 16
Set Up a Proportion
All 2,000 customers at a gym are randomely assigned a 3-digit security code that they use to access their online accounts. The codes are made up of the digits 0 through 4, and the digits can be repeated. Is it likely that fewer than 10 of the customers are isseued the code 103?
Challenge..!
0-4 0-4 0-4. . 1
515
15
1125
1251
2,000X
125x = 2000
x = 16
Set Up a Proportion
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
All 2,000 customers at a gym are randomely assigned a 3-digit security code that they use to access their online accounts. The codes are made up of the digits 0 through 4, and the digits can be repeated. Is it likely that fewer than 10 of the customers are isseued the code 103?
Challenge..!
0-4 0-4 0-4. . 1
515
15
1125
1251
2,000X
125x = 2000
x = 16
Set Up a Proportion
All 2,000 customers at a gym are randomely assigned a 3-digit security code that they use to access their online accounts. The codes are made up of the digits 0 through 4, and the digits can be repeated. Is it likely that fewer than 10 of the customers are isseued the code 103?
Challenge..!
0-4 0-4 0-4. . 1
515
15
1125
1251
2,000X
125x = 2000
x = 16
Set Up a Proportion
No... It is not likely that fewer than 10 customers are issued the code 103...
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
A sports store sells water bottles in different colors. The table shows the colors of the last 200 water bottles sold. The manager plans to order 1800 new water bottles.
Color NumberRed 30Blue 50Green 25Yellow 10Purple 10Clear 75
How many red water bottles should the manager order?
Find the probability of selling a red water bottle.
30 200
= 320
Set up a proportion. 320
= n 1800
Find the crossproducts.
3 x 1800 = 20n
5400 = 20n20 20
=270 n
Solve.
The manager should order 270 red water bottles.
Color NumberRed 30Blue 50Green 25Yellow 10Purple 10Clear 75
YOUR TURN
How many green water bottles should the manager order?
The manager plans on ordering 1800 new water bottles.
How many clear water bottles should the manager order?
225
Click
675
Click
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
Jared randomly draws a card from a 52card deck and tries to guess what it is. If he tries this trick 1040 times over the course of his life, what is the best prediction for the amount of times it works?
Set up a proportion. 152 = n
1040Solve for n. n = 20
Suppose you are playing a game in which 2 fair dice are rolled. You need 9 to land on the finish by an exact count or 3 to land on a "roll again" space. What is the probability of landing on the finish or rolling again?
1/6
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
Fair
In a game, 2 players each flip a coin. Player A wins if exactly one of the two coins is heads. Otherwise, Player B wins. Determine whether the game is fair. Explain.
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
2136
In a game, 2 players each roll two fair dice and add the two numbers. Player A wins with a sum of 6 or less. Otherwise
player B wins. Decide whether the game is fair.
Find the theoretical probability of each player's winning.
(Hint: You may want to list all possible outcomes.)
1+1=2 2+1=3 3+1=4 4+1=5 5+1=6 6+1=71+2=3 2+2=4 3+2=5 4+2=6 5+2=7 6+2=81+3=4 2+3=5 3+3=6 4+3=7 5+3=8 6+3=91+4=5 2+4=6 3+4=7 4+4=8 5+4=9 6+4=101+5=6 2+5=7 3+5=8 4+5=9 5+5=10 6+5=111+6=7 2+6=8 3+6=9 4+6=10 5+6=11 6+6=12
P(Player A winning) = 1536 P(Player B winning) =
Based on your findings is the game fair?
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HomeworkWorksheet5.4 and 6.3
TestNext Friday
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017
Adv Lesson 5.4 and 6.3 (7th Grade Book) Making Decisions and Predictions.notebookJanuary 10, 2017