Probability of Independent Events

Probability of Independent Events

Compacted Math

Mr. Thornton

Probability

Lesson Objectives

• Identify events that are independent 

• Find probability of independent events 

• Find probability of dependent events

Independent Events

Have no influence on one another's outcomes

Multiple Select

Which of the following are independent events?

• Rolling a die and flipping a coin

• Drawing two cards from the top of a deck

• Drawing a set of 7 Scrabble tiles

• Flipping a coin ten times in a row

• Spinning a roulette wheel three times

The Addition Rule

Multiple Choice

Suppose you roll a pair of six-sided dice and add them together. What is the probability the result is even OR prime?

• 25/36

• 2/3

• 3/4

• 20/27

Multiplication Rule

Multiple Choice

On a multiple choice test, you encounter a set of 4 questions, each with 4 possible answer choices, that you have no idea how to answer. You decide to guess randomly on each of these questions and hope for the best. What is the probability that you get all four answers correct?

• 1/4

• 1/2

• 1/64

• 1/256

Exit Ticket

Answer the following questions to check your understanding of today's lesson!

Multiple Choice

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then without putting the first card back, he picks a second card at random.

• Independent

• Dependent

Multiple Choice

A glass jar contains 1 red, 3 green, 2 blue, and 4 yellow marbles. If a single marble is chosen at random from the jar, what is the probability that it is yellow or green?

• 3/10

• 4/10

• 7/10

• None of the above

Multiple Choice

What is the probability of rolling a die and landing on a 4, and then rolling the die again and landing on any even number?

• 1 ⁄ 6

• 1 ⁄ 8

• 1 ⁄ 2

• 1 ⁄ 12

Multiple Choice

What is the probability of rolling an even number on the first roll of a number cube and rolling an odd number on the second roll?

• 1/4

• 1

• 1/8

• 1/2

Mission Accomplished!

If you didn't find you understand this too well, maybe consider reviewing the lesson later with my recording and making another attempt!