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

Click

Adv ­ Lesson 5.4 and 6.3 (7th Grade Book) ­ Making Decisions and Predictions.notebookJanuary 10, 2017

3x = 150

3x = 1503       3

Click

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?

Click

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

Adv ­ Lesson 5.4 and 6.3 (7th Grade Book) ­ Making Decisions and Predictions.notebookJanuary 10, 2017