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

VOCABULARY                                  DEFINTION                  EXAMPLE

 Compound                                                              See below
   Event




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

                                                  Number Spinner
                                              1     2       3      4
                   Number Spinner




                                    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 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




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
                                      A compound event
 Compound
                                      consists of two or                       See below
   Event
                                      more single events.




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

                                                     Number Spinner
                                                1      2       3          4
                     Number Spinner




                                      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
                      White       heads, 1, white
             1        Black       heads, 1, black
                     Striped      heads, 1, striped
                      White       heads, 2, white
heads        2        Black       heads, 2, black
                     Striped      heads, 2, striped
                      White       heads, 3, white
             3        Black       heads, 3, black
                     Striped      heads, 3, striped
                      White       heads, 1, white
             1        Black       tails, 1, black
                     Striped      tails, 1, striped
                      White       tails, 2, white
 tails       2        Black       tails, 2, black
                     Striped      tails, 2, striped
                      White       tails, 3, white
             3        Black       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                                 0
               20

10. P(2, then odd)                             11. P(even, then 5)
3                                                     2=1
20                                               20 10

12. What is the probability of a coin landing on heads and a number cube landing
on an even number?
1
4

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Lesson 11 5 compound events

  • 1. Name _______________________________ Date _____________________ Mrs. Labuski & Mrs. Rooney Period ____ Lesson 11-5 Compound Events VOCABULARY DEFINTION EXAMPLE Compound See below Event To find the probability of landing on one and black, first make a list of all the possibilities. Number Spinner 1 2 3 4 Number Spinner 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
  • 2. 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) =
  • 3. 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 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?
  • 4. Name _______________________________ Date _____________________ Mrs. Labuski & Mrs. Rooney Period ____ Lesson 11-5 Compound Events VOCABULARY DEFINTION EXAMPLE A compound event Compound consists of two or See below Event more single events. To find the probability of landing on one and black, first make a list of all the possibilities. Number Spinner 1 2 3 4 Number Spinner 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
  • 5. 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 White heads, 1, white 1 Black heads, 1, black Striped heads, 1, striped White heads, 2, white heads 2 Black heads, 2, black Striped heads, 2, striped White heads, 3, white 3 Black heads, 3, black Striped heads, 3, striped White heads, 1, white 1 Black tails, 1, black Striped tails, 1, striped White tails, 2, white tails 2 Black tails, 2, black Striped tails, 2, striped White tails, 3, white 3 Black tails, 3, black Striped tails, 3, striped There are 18equally likely outcomes.
  • 6. 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 0 20 10. P(2, then odd) 11. P(even, then 5) 3 2=1
  • 7. 20 20 10 12. What is the probability of a coin landing on heads and a number cube landing on an even number? 1 4