EM2 Probability Review

EM2 Probability Review

Let's get ready for our task by going over all of the concepts we have covered so far.

Sample Spaces

All Possible Outcomes

Open Ended

Create a Sample Space for the following scenario:

You are getting lunch from a hot dog vendor. You can chose from a turkey or beef hot dog, a poppy seed or whole wheat bun, and ketchup or mustard or plain for toppings.

How many different outcomes are possible?

Multiple Choice

What is the sample space?

• 6 bears

• orange, green, red, white, yellow

• unlikely

• 2 red bears

Multiple Choice

How many outcomes are there with tossing a coin and rolling a dice?

• 2
• 6
• 12
• 24

Fundamental Counting Principal and Factorials

Easier way to find total number of outcomes

Multiple Choice

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

Multiple Choice

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.  How many different 1-scoop ice cream cones can a customer order? 

• 34
• 2
• 3
• 93

Multiple Choice

6!

• 6
• 46656
• 720
• 21

Multiple Choice

Simplify this

• 12

• ¾

• ¼

• 1!

Open Ended

How many ways can you arrange the letters in the word QUICK?

Venn Diagrams and

Mutually Exclusive Events

Here come the intersections, unions, and complements!

Multiple Choice

What statement does the shaded region represent?

• A or B
• A and B
• A
• B

Open Ended

If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, what is .....?

Multiple Choice

What statement does the shaded region represent?

• A or B
• Not A
• A and B
• Not B

Multiple Choice

If a spinner is numbered 1 – 8, when you spin it the events of spinning an odd number and spinning an 8 are mutually exclusive.

• True

• False

Multiple Choice

If a spinner is numbered 1 – 8, when you spin it the events of spinning an even number and a number less than 4 are mutually exclusive.

• True

• False

Multiplication Rule

Are the events Dependent or Independent?

Multiple Choice

An experiment consists of spinning a spinner and flipping a fair coin. The spinner consists of 4 colored sections of equal size.

• Red

• Blue

• Green

• Yellow

If the arrow on the spinner is spun one time and the coin flipped one time, what is the probability of getting the outcome “Blue, Tails”?

• $\frac{1}{8}$

• $\frac{1}{6}$

• $\frac{1}{4}$

• $\frac{3}{4}$

Multiple Choice

There are 9 movies showing at a theater. Two are action movies, two are children’s movies, and the other movies are comedies. Ashley randomly selects 2 different movies to see. What is the probability that the first movie is an action movie and the second movie is a comedy?

• $\frac{1}{18}$

• $\frac{10}{81}$

• $\frac{5}{36}$

• $\frac{7}{9}$

Multiple Choice

A key ring has 12 keys, 3 of which open the house door. If two keys are randomly selected without replacement, what is the probability that neither key opens the door?

• $\frac{1}{22}$

• $\frac{6}{11}$

• $\frac{9}{16}$

• $\frac{21}{22}$

Conditional Probability

Two Way Tables

Open Ended

P(Shorts|Sandals):

Multiple Choice

What is the probability that the person picked will be a boy given they speak german? 

• .7273
• .4
• .16
• .22

Multiple Choice

What is the probability of choosing a Honda? 

• .5970
• .5373
• .4627
• .4030