Probability Notes and Review Part 2

Probability Notes and Review Part 2

Review and SWYK

Is the event Independent or dependent

• Independent event: event is not affected or change when something happens

• Dependent event: event is affected or changes when something happens

A.) Determine if each event is in dependent or independent.

• 1.) Counselors at a summer camp are assigning beds to the campers. Bridget is assigned a bed, and then Elise is assigned one.

• 2.) At a cosmetics store, an employee offers to let shoppers smell any perfume. In the morning, one shopper stops to smell a perfume. After lunch, a second customer also decides to smell a perfume.

• 3.) Farah took a coin out of her pocket and flipped it. Then she flipped it again.

Correct Answers

• 1.) D

• 2.) I

• 3.) I

Multiple Choice

Security guards at Woodside high school, will have to get each class one at a time to do tornado drill. The security picked Room C – 152 first. Then picked the class in C – 150 to go next, and the rest of the classes after that.

Is this a dependent or independent situation?

• Dependent

• Independent

Multiple Choice

Rose selects a snickers bar out of an assorted bag of candy and eats it. Her friend wants to pick out a piece of candy next.

Independent or dependent?

• Independent

• Dependent

Multiple Choice

George rolled a dice and got the number 4. Then your rolled the dice again and got the number 3.

Independent or Dependent?

• Dependent

• Independent

B.) Evan and Marcy part of a group of people running to be the SCA President of the school. The probability that Evan will win is .45 and the probability that Marcy will win is .32.  

• 4. What is the probability that Evan and Marcy will be the SCA President? 0 not possible

• 5. What is the probability that Evan or Marcy will be the SCA President? .45 + .32 = .77

• 6. What is the complement of Marcy winning the election? 1 -.32 = .68

Multiple Select

Given the situation what is true.

Casey and JoJo part of a group of people running to be Vice President of the school. The probability that Casey will win is .51 and the probability that JoJo will win is .41.

• The probability of Casey and JoJo winning is not possible.

• The complement of JoJo winning the election is .50

• The complement of Casey winning the election is .49

• The probability of Casey or JoJo winning is .92

Part C.) Mutually exclusive event (an event that can't happen at the same time!)

7. Which is a mutually exclusive event to: Playing Fortnite at 3pm with friends

• a. being a girl                                                                       

                                                              

•  b. being a sophomore      

•  c. being asleep

•   d. being 6 feet tall

Multiple Choice

Which is a mutually exclusive event to: Walking to school at 6am with friends?

• a. being a girl

• b. being a boy

• c. going to the mall

• d. wearing a bookbag

Part D: What is the inequality that represents the probability that an even will happen?

•  $0\le x\le1$  

Multiple Choice

Write an inequality that represents the probability an odd will happen.

• $0\le x\le-1$

• $0\le x\le0$

• $0\le x\le2$

• $0\le x\le1$

Part E: Tree Diagram

Draw a tree diagram to represent the events.

A pizza place has two types of crust, regular and gluten free. After you choose your crust, there are three different kinds of sauce, spicy, regular, or white sauce. Finally, there are three different types of toppings, cheese, meat, and veggie.

Answer the following questions

a.       How many different events are there? 18

 

b.      What is the probability of getting regular sauce? 1/3

c.      What is the probability of getting meat topping? 1/3

d.      What is the probability of getting a regular crust pizza with spicy sauce and veggie topping? 1/2 x 1/3 x 1/3 = 1/18

Fill in the Blanks

At Red Robin you can build your own burger! Nice! They have three types of buns, white, whole wheat, and pretzel. After you choose your bun, there are four different kinds of cheeses American, provolone, cheddar, and gouda. Finally, there are 6 different types of toppings, tomato, bacon, avocado, fried egg, mayo and ketchup.

How many different events are there? type the number don't put spaces

Multiple Choice

At Red Robin you can build your own burger! Nice! They have three types of buns, white, whole wheat, and pretzel. After you choose your bun, there are four different kinds of cheeses American, provolone, cheddar, and gouda. Finally, there are 6 different types of toppings, tomato, bacon, avocado, fried egg, mayo and ketchup.

a. What is the probability of getting cheddar cheese?

• 1/4

• 1/3

• 1/2

• 1/5

Multiple Choice

At Red Robin you can build your own burger! Nice! They have three types of buns, white, whole wheat, and pretzel. After you choose your bun, there are four different kinds of cheeses American, provolone, cheddar, and gouda. Finally, there are 6 different types of toppings, tomato, bacon, avocado, fried egg, mayo and ketchup.

a. What is the probability of getting bacon?

• 1/4

• 1/5

• 1/6

• 1/3

Multiple Choice

At Red Robin you can build your own burger! Nice! They have three types of buns, white, whole wheat, and pretzel. After you choose your bun, there are four different kinds of cheeses American, provolone, cheddar, and gouda. Finally, there are 6 different types of toppings, tomato, bacon, avocado, fried egg, mayo and ketchup.

a. What is the probability of getting a burger on pretzel bun with, provolone cheese with tomato and fried egg as a topping?

• 1/72

• 1/36

• 2/7

• 1/24

Part F: Probability and Tables

What is the probability that a randomly selected contestant is 13 to 30 years old and is wearing high heels?

4/16 = 1/4

Probability and Tables

Martha conducted a blind taste test on some of her friends in order to determine if organic fruits tasted different than non-organic fruits. Each friend ate one type of fruit.

What is the probability that a randomly selected friend ate a non-organic peach?

2/12 = 1/6

 A. 0.17                            B. 0.33                            C. 0.08                            D. 0.50

 

Probability and Tables

a.       P(Negative) = 69/400

 

b.      P(B) = 47/400

c.      P(Positive O) = 146/400 = 73/200

d.      P(A Negative) = 26/400 = 13/200

Probability and tables

13. Using the table in #12, what is the probability the blood type was O or A? (172/400 + 160/400) x 100 =

A. 93%     B. 83%       

C. 43%      D. 40%

14. Using the table in #12, what is the probability the person selected has AB blood type given they have Negative Rh-Factor?

A. 29%                             B. 2%           

C.  71%                             D. 9%

Multiple Choice

People were surveyed in different age groups about which social media accounts they use the most. Answer the probability question.

What is the probability that a randomly selected person is 8 – 12 years old and uses Tik-Tok?

(write your answer as a fraction)

• 2/11

• 5/38

• 1/76

• 5/76

Multiple Choice

What is the probability that a randomly selected person uses Instagram?

(write your answer as a fraction)

• 39/76

• 5/76

• 1/76

• 15/76

Fill in the Blanks

Using the table above, what is the probability the person will be 21 to 30 years old and use Tik – Tok?

(write your answer as a decimal)

Fill in the Blanks

P(Tik-Tok)

(type your answer as a decimal, round to the nearest hudreth) dont use spaces

Multiple Choice

P (13 to 20 years old)

(write your answer as a percent) round to the nearest hole number

• 33%

• 25%

• 72%

• 15%

Multiple Choice

P (8 – 12years old Instagram)

(write your answer as a percent) round to the nearest whole number.

• 82%

• 50%

• 26%

• 13%