Introduction to Probability

You are creating an access code for your house. It is 5 digits long. The first digit cannot be zero and the last digit must be an odd number. How many possible access codes are there?

• 3,0240

• 4,5000

• 100,000

• 5,000

In order for two events to be mutually exclusive, they must: (select all that apply)

• The cannot have any outcomes in common

• They must be independent

• They cannot happen at the same time

• One must affect the other

The Multiplication Rule applies to:

• Independent and Dependent Events

• Combinations

• Permutations

• Mutually Exclusive Events

When talking about events in a sequence, if neither events affects the other, then they are:

• mutually exclusive

• dependent

• complementary

• independent

Are the following two events mutually exclusive?

P(A): A person who loves cats

P(B): A person who loves dogs

• mutually exclusive

• not mutually exclusive

Determine the probability:

P(A): Selecting a red card in the deck

or

P(B): Selecting any face card

• 73.1%

• 50%

• 61.5%

• 7.7%

You are trying to hire 4 positions for your company, and you have 20 different applicants. One person cannot fill two positions. How many different ways can the positions be filled?

• 4,845

• 116,280

• 29,070

• 7,720

You are painting your house. You have 8 different walls to paint and 12 different colors to choose from. It doesn't matter which wall is which color or if you double up on colors, you simply need to pick what colors to use. How many possible ways are there to paint your house?

• 495

• 19,958,400

• 11,880

• 1,680

Is the following independent or dependent?

P(A): Tossing a coin and getting heads

P(B): Tossing a coins and getting tails

• independent

• dependent

Is the following independent or dependent?

P(A): Selecting an ace from a deck of cards without replacement

P(B): selecting an even number

• independent

• dependent