Probability of Compound Events - Dependent and Independent

Probability of Compound Events

Compound Event

The likeliness of two events occurring. 

- rolling a 6 AND landing on red

- picking a yellow crayon AND landing on heads

Compound Probability

Compound probability is equal to the probability of the first event multiplied by the probability of the second event.

P(event 1) x P(event 2)

Multiple Choice

P(4)*P(Tails)=
You flip a coin and roll a die. What is the probability that you flip a tails and roll a 4?

• 3/15
• 1/12
• 2/3
• Susan

Multiple Choice

P(1 and A)

• 1/16
• 1/10
• 4/16
• 1/4

Multiple Choice

You draw a marble from a bag that has 4 red, 2 blue, and 3 green, you also flip a fair coin. What is the probability you will draw a blue marble and flip a heads?

• 1/9

• 3/9

• 3/6

• 5/6

Multiple Choice

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 

• 1/12
• 1/4
• 1/8
• 1/2

Multiple Choice

If you flip three fair coins, what is the probability that you'll get all three heads?

• 8/1
• 1/8
• 1/16
• Jessica

Multiple Choice

The outcome of one event does not affect the outcome of the other event.

• independent event

• dependent event

Multiple Choice

The outcome of one event does affect the outcome of the other event.

• independent event

• dependent event

Multiple Choice

Pablo chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.

• Independent
• Dependent

Multiple Choice

Clara picks a marble at random, puts it back, and then picks another marble at random.

• independent

• dependent

Multiple Choice

Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice.  What is the probability that it lands on red first and then blue?

• Independent
• Dependent

Multiple Choice

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

• Yes
• No

Multiple Choice

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

• Independent
• Dependent

Multiple Choice

Which of the following is an example of independent events?

• Picking which two pair of shoes you will take with you on a trip.

• Determining which two people have the highest grade in class.

• Picking which 2 people will receive a scholarship.

• Rolling a 6 sided die 2 times and getting a 5 both times.

Multiple Choice

Which of the following is not an example of independent events?

• Rolling two six sided die and getting 5 both times.

• Picking an ace out of a deck of cards, then picking another ace out of the same deck with replacing the first.

• Picking an ace out of a deck of cards, then picking another ace out of the same deck after replacing the first card.

• Picking two different people in class to write on the board.

Multiple Choice

Which of the following is an example of independent events?

• Picking which two 6-sided die to roll out of 6 given to you.

• Determining who will be the 2 captains on the football team.

• Picking which 3 outfits to take with you on your weekend vacation.

• Rolling a 6-sided die 2 times and getting a 5 both times.

Multiple Choice

Which of the following is an example of dependent events?

• Flipping a fair coin twice and getting tails both times.

• Choosing the starting player line-up for a basketball game.

• Choosing two cards from a stack of colored cards, with replacement, and both cards are blue.

• Rolling a 6-sided die 2 times and getting a 5 both times.

Multiple Choice

Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple. 

• 3/5
• 3/4
• 3/20
• 2/5

Multiple Choice

A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? 

• 9/49
• 4/125
• 1/10
• 1/30

Multiple Choice

Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?

• 1 / 16
• 1 ⁄ 6
• 1 ⁄ 8
• 3 ⁄ 4

Multiple Choice

Cesar's piggy bank has 8 quarters, 2 dimes, 4 nickels, and 6 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel? 

• 1/50
• 2/95
• 1/10
• 4/19

Multiple Choice

A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange? 

• 9/16
• 3/4
• 9/144
• 5/16

Poll

How do you feel about probability of compound events?

• Good

• Okay

• Meh