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Day 6 Quiz Review and Quiz Day! CCM2 Unit 6: Probability

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Day 6 Quiz Review and Quiz Day!. CCM2 Unit 6: Probability. For #1 and 2, show ALL work by hand with the formulas!. Warm-up. 1. The ski club with ten members is to choose three officers captain, co-captain, and secretary. How many ways can those offices be filled? - PowerPoint PPT Presentation

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Page 1: Day 6 Quiz Review and Quiz Day!

Day 6Quiz Review and Quiz Day!

CCM2 Unit 6: Probability

Page 2: Day 6 Quiz Review and Quiz Day!

1. The ski club with ten members is to choose three officers captain, co-captain, and secretary. How many ways can those offices be filled?

2. You are on your way to Hawaii and of 15 possible books, you can only take 10. How many different collections of 10 books can you take?

3. Dominoes offers a deal that says you can order a pizza with at most 5 toppings for $9.99. If there are a total of 12 types of toppings, how many different pizzas could you order?

4. On a fair dice, what is the probability of rolling a multiple of 3 or a number greater than 4? Are these events mutually inclusive or exclusive?

5. A family who breeds dogs made the following observations:- 30% of their dogs are males- 15% of females are brown colored- 56% of males are not brown colored

What is the probability there is a brown male?

Warm-upFor #1 and

2, show ALL work by hand with the

formulas!

Page 3: Day 6 Quiz Review and Quiz Day!

1. The ski club with ten members is to choose three officers captain, co-captain, and secretary. How many ways can those offices be filled?

2. You are on your way to Hawaii and of 15 possible books, you can only take 10.

How many different collections of 10 books can you take? 3. Dominoes offers a deal that says you can order a pizza with at most 5 toppings for

$9.99. If there are a total of 12 types of toppings, how many different pizzas could you order?

4. On a fair dice, what is the probability of rolling a multiple of 3 or a number greater than 4? Are these events mutually inclusive or exclusive?

5. A family who breeds dogs made the following observations:-30% of their dogs are males- 15% of females are brown colored-56% of males are not brown colored

What is the probability there is a brown male?

Warm-up Answers

10P3 = 210

15C10 = 3003

12C5+12C4+12C3+12C2+12C1+12C0 = 1586

2/6 + 2/6 – 1/6 = 3/6 = 1/2 Mutually Inclusive

0.132 = 13.2%(use tree diagram)

Page 4: Day 6 Quiz Review and Quiz Day!

Homework Answers1. (2/52)(26/51)/(2/52) = 26/51 = .5098 51%2. (2/52)(26/51)/(2/52) = 26/51 = .5098 51%3. 0.25/0.55 = 5/11 = .456 = 45.6%4. 0.15/0.45 = 1/3 = .333 = 33.3%5. (8/16)x(7/15) = 7/30 = 23.3%6. (8/16) x (3/15) = 1/10 = 10%7. a) 714/1375 b) 661/1375 c) 128/293 d) 438/661

Page 5: Day 6 Quiz Review and Quiz Day!

Homework Answers8. a) 78/663 = 2/17 = 11.8% b) 561/ 663 = 11/13 = 85% c) 78/165 = 26/55 = 47% d) 175/498 = 35%

9. a) 15/28 = 54% b) 1/2 = 50% c) 7/15 = 47% d) 6/14 = = 3/7 = 43%

Page 6: Day 6 Quiz Review and Quiz Day!

Homework Answers1. a.) on next slide b.) 9/36 = 1/4 c.) 27/36 = 3/4 d.) no because they do not

have an equal probability2. a.) on next slide b.) 6/16 = 3/8 c.) 10/16 = 5/8 d.) no because the

probabilities are not equal

3.) 10*9*8 = 7204.) ½5.) 8/36 = 2/96.) 11/357.) 7,980,0008.) The probability of pulling out a total of $2

is greater.9.) a.) 5/22 b.) 5/2210.) 21/22

Page 7: Day 6 Quiz Review and Quiz Day!

2a.)1A) Pt to

BBBABAABBAABABBB

Page 8: Day 6 Quiz Review and Quiz Day!

Coach Sam60%

Goal Keeper50%

Not Goal Keeper50%

Coach Alex40 %

Goal Keeper30%

Not Goal Keeper

70%

11a.)

0.30

0.30

0.12

0.28

Page 9: Day 6 Quiz Review and Quiz Day!

Homework Answers

11. b.) (.6 x .5) + (.4 x .3) = .42 (42%) c.) 50% d.) P(C Alex & not GK) = (0.4)(0.7) = 0.483

P(not GK) (0.6)(0.5) + (0.4)(0.7)

12. 12.8%13. 1/2614. a.) 58/79 b.) 21/79 c.) 14/35 = 2/5

Page 10: Day 6 Quiz Review and Quiz Day!

HW Answers1. 17/70 = 24.3%2. 3/10 = 30%3. 1/3 = 33.3%4. 3/7 = 42.9%5. 13/31 = 41.9%6. 9/25 = 36%7. 17008. 1/5 = 20%

9. Experimental because data was collected

10.Yes. The ad is saying gum helps your teeth by saying dentists recommend chewing it.

11.Answers will vary.Ex/ They could survey more dentists. 10 dentists is not a representative sample.

Page 11: Day 6 Quiz Review and Quiz Day!

Quiz Review 1) When rolling a die twice, find the probability of rolling an even

number then a multiple of 3.2) When rolling a die once, find the probability of rolling an even

number or a multiple of 3.

3) Jack is a student in Bluenose High School. He noticed that a lot of the students in his math class were also in his chemistry class. In fact, of the 60 students in his grade, 28 students were in his math class, 32 students were in his chemistry class, and 15 students were in both his math class and his chemistry class. a) Draw a Venn diagram and help Jack with his calculations.b) Calculate P(math U chemistry)c) Calculate P(math chemistry) d) Calculate the probability of selecting a student at random who was either in his math class or his chemistry class, but not both. e) Calculate P(Jack’s Class c)

Page 12: Day 6 Quiz Review and Quiz Day!

Quiz Review Answers 1) When rolling a die twice, find the probability of rolling an

even number then a multiple of 3.

2) When rolling a die once, find the probability of rolling an even number or a multiple of 3.

P(even) * P(mult. of 3) = 3/6 * 2/6 = 6/36 = 1/6

Mutually Inclusive EventsP(even) + P(mult. of 3) – P(even & mult. of 3) = 3/6 + 2/6 - 1/6 = 4/6 = 2/3

Page 13: Day 6 Quiz Review and Quiz Day!

Quiz Review Answers 3) Jack is a student in Bluenose High School. He noticed that a lot of

the students in his math class were also in his chemistry class. In fact, of the 60 students in his grade, 28 students were in his math class, 32 students were in his chemistry class, and 15 students were in both his math class and his chemistry class. a) Draw a Venn diagram and help Jack with his calculations.

b) Calculate P(math U chemistry)c) Calculate P(math chemistry) d) Calculate the probability of selecting a student at random who was either in his math class or his chemistry class, but not both. e) Calculate P(Jack’s Class c)

45/60 = ¾15/60 = ¼

30/60 = ½ 15/60 = ¼

Class

15

Math

13

Chemistry

1715

Page 14: Day 6 Quiz Review and Quiz Day!

Quiz Review Activity!

Page 15: Day 6 Quiz Review and Quiz Day!

Given the following Venn Diagram, how many students are taking an art AND a music class?

Page 16: Day 6 Quiz Review and Quiz Day!

6

Page 17: Day 6 Quiz Review and Quiz Day!

Given the following Venn Diagram, how many students are taking an art OR a music class?

Page 18: Day 6 Quiz Review and Quiz Day!

38

Page 19: Day 6 Quiz Review and Quiz Day!

Given the following Venn Diagram, how many students are in the Venn Diagram?

Page 20: Day 6 Quiz Review and Quiz Day!

140

Page 21: Day 6 Quiz Review and Quiz Day!

Given the following Venn Diagram, find the PROBABILITY that a student is taking an art AND a

music class. P(art AND music) = ________

Page 22: Day 6 Quiz Review and Quiz Day!

6/140 or 3/70

Page 23: Day 6 Quiz Review and Quiz Day!

Given the following Venn Diagram, find the PROBABILITY that a student is taking an art OR a

music class. P(art OR music) = ________

Page 24: Day 6 Quiz Review and Quiz Day!

38/140

or 19/70

Page 25: Day 6 Quiz Review and Quiz Day!

The probability of an event + the probability of its complement = ________

P(A) + P(AC) = ___________

Page 26: Day 6 Quiz Review and Quiz Day!

1

Page 27: Day 6 Quiz Review and Quiz Day!

The probability of rain tomorrow is 40%. What is the probability that it doesn’t rain?

Page 28: Day 6 Quiz Review and Quiz Day!

0.60

Page 29: Day 6 Quiz Review and Quiz Day!

The probability of rain tomorrow is 40%. What are the odds of rain?

Page 30: Day 6 Quiz Review and Quiz Day!

4:6 or 2:3

Page 31: Day 6 Quiz Review and Quiz Day!

At SWGHS, 30% of the students are sophomores. 48% of the students are female.

What is the probability that a student is a female AND a sophomore?

Page 32: Day 6 Quiz Review and Quiz Day!

14.4%

Page 33: Day 6 Quiz Review and Quiz Day!

A coin and a die are tossed/rolled. What is the probability of getting tails and a 4.

Page 34: Day 6 Quiz Review and Quiz Day!

1/12

Page 35: Day 6 Quiz Review and Quiz Day!

If the probability of receiving a piece of mail is 25% on any given day, what is the probability of

receiving a piece of mail today and no mail tomorrow?

Page 36: Day 6 Quiz Review and Quiz Day!

18.75%

Page 37: Day 6 Quiz Review and Quiz Day!

Given a standard deck of cards, what is the probability of drawing a diamond?

Page 38: Day 6 Quiz Review and Quiz Day!

25%

Page 39: Day 6 Quiz Review and Quiz Day!

Given a standard deck of cards, what is the probability of drawing a king?

Page 40: Day 6 Quiz Review and Quiz Day!

1/13

Page 41: Day 6 Quiz Review and Quiz Day!

Given a standard deck of cards, what is the probability of drawing the king of diamonds?

Page 42: Day 6 Quiz Review and Quiz Day!

1/52

Page 43: Day 6 Quiz Review and Quiz Day!

Given a standard deck of cards, what is the probability of drawing a king OR a diamond?

Page 44: Day 6 Quiz Review and Quiz Day!

16/52 or 4/13

Page 45: Day 6 Quiz Review and Quiz Day!

Given a standard deck of cards, what are the ODDS of drawing a diamond?

Page 46: Day 6 Quiz Review and Quiz Day!

13:39 or 1:3

Page 47: Day 6 Quiz Review and Quiz Day!

Quiz Time!!