Name _______________________________ Date _____________________Mrs. Labuski & Mrs. Rooney Period ____ Lesson 11-5 Compound Events

VOCABULARY DEFINTION EXAMPLE

Compound Event

See below

To find the probability of landing on one and black, first make a list of all the possibilities.

Number Spinner1 2 3 4

Num

ber

Spi

nner Black

White

There are __________ possible outcomes.

Next, find the number of outcomes that have one and black.There are two outcomes that have one and black.Then find the probability.

P(1, black) = ways the event can occur = possible outcomes

You can also use a tree diagram to see the possible outcomes

Step One: Step Two: Step Three: Toss a fair coin Spin the spinner Choose a marble

What is the probability that the coin will show heads, the spinner will land on three and you will chose a black marble?

Draw a tree diagram:

COIN SPINNER MARBLE OUTCOME

There are __________ equally likely outcomes.

P(heads, 1, black) =

1. What is the probability of the spinner landing on B both times? ______________

2. What is the probability of thespinner landing on B, then C? _________________

3. What is the probability of the spinner landing on a vowel and then a consonant? _________________

4. What is the probability of not spinning D either time? _____________________

A coin is tossed three times.5. How many possible outcomes are there? Make a tree diagram

6. What is the probability of the coin landing heads up three times? ____________

7. What is the probability of the coin landing heads up twice and tails up once? ___

There are five cards numbered 1, 2, 3, 4, and 5 in a bag. Each time a card is drawn, it is not replaced. Find the probability of each event.8. P(1, then 2) 9. P(4, then 4)

10. P(2, then odd) 11. P(even, then 5)

12. What is the probability of a coin landing on heads and a number cube landing on an even number?

Name _______________________________ Date _____________________Mrs. Labuski & Mrs. Rooney Period ____ Lesson 11-5 Compound Events

VOCABULARY DEFINTION EXAMPLE

Compound Event

A compound event consists of two or

more single events.See below

To find the probability of landing on one and black, first make a list of all the possibilities.

Number Spinner1 2 3 4

Num

ber

Spi

nner Black B1 B2 B3 B4

White W1 W2 W3 W4

There are 8 possible outcomes.

Next, find the number of outcomes that have one and black.There are two outcomes that have one and black.Then find the probability.

P(1, black) = 1 ways the event can occur = 1 8 possible outcomes 8

You can also use a tree diagram to see the possible outcomes

Step One: Step Two: Step Three: Toss a fair coin Spin the spinner Choose a marble

What is the probability that the coin will show heads, the spinner will land on three and you will chose a black marble?

Draw a tree diagram:

COIN SPINNER MARBLE OUTCOME

heads

1White heads, 1, whiteBlack heads, 1, black

Striped heads, 1, striped

2White heads, 2, whiteBlack heads, 2, black

Striped heads, 2, striped

3White heads, 3, whiteBlack heads, 3, black

Striped heads, 3, striped

tails

1White heads, 1, whiteBlack tails, 1, black

Striped tails, 1, striped

2White tails, 2, whiteBlack tails, 2, black

Striped tails, 2, striped

3White tails, 3, whiteBlack tails, 3, black

Striped tails, 3, striped

There are 18equally likely outcomes.

P(heads, 1, black) = 1 18

1. What is the probability of the

spinner landing on B both times? _____ _________

2. What is the probability of the

spinner landing on B, then C? ___ ______________

3. What is the probability of the spinner

landing on a vowel and then a consonant?

4. What is the probability of not spinning D either time? __

_________________

A coin is tossed three times.5. How many possible outcomes are there? Make a tree diagram 8 outcomes

6. What is the probability of the coin landing heads up three

times? ____ ________

7. What is the probability of the coin landing heads up twice and tails up once? ___

There are five cards numbered 1, 2, 3, 4, and 5 in a bag. Each time a card is drawn, it is not replaced. Find the probability of each event.8. P(1, then 2) 9. P(4, then 4) 1 020

10. P(2, then odd) 11. P(even, then 5)3 2 = 120 20 10

12. What is the probability of a coin landing on heads and a number cube landing on an even number?

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