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- 1. Name _______________________________ Date _____________________Mrs. Labuski & Mrs. Rooney Period ____ Lesson 11-5 Compound EventsVOCABULARY DEFINTION EXAMPLE Compound See below EventTo find the probability of landing on one and black, first make a list of all thepossibilities. Number Spinner 1 2 3 4 Number Spinner Black WhiteThere 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 outcomesStep One: Step Two: Step Three:Toss a fair coin Spin the spinner Choose a marbleWhat is the probability that the coin will show heads, the spinner will land on threeand you will chose a black marble?Draw a tree diagram:COIN SPINNER MARBLE OUTCOMEThere are __________ equally likely outcomes.P(heads, 1, black) =
- 3. 1. What is the probability of thespinner landing on B both times? ______________2. What is the probability of thespinner landing on B, then C? _________________3. What is the probability of the spinnerlanding 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 diagram6. 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 isdrawn, 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 landingon an even number?
- 4. Name _______________________________ Date _____________________Mrs. Labuski & Mrs. Rooney Period ____ Lesson 11-5 Compound EventsVOCABULARY 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 thepossibilities. Number Spinner 1 2 3 4 Number Spinner Black B1 B2 B3 B4 White W1 W2 W3 W4There 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 outcomesStep One: Step Two: Step Three:Toss a fair coin Spin the spinner Choose a marbleWhat is the probability that the coin will show heads, the spinner will land on threeand 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, whiteheads 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, stripedThere are 18equally likely outcomes.
- 6. P(heads, 1, black) = 1 181. What is the probability of thespinner landing on B both times? _____ _________2. What is the probability of thespinner landing on B, then C? ___ ______________3. What is the probability of the spinnerlanding 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 threetimes? ____ ________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 2010. P(2, then odd) 11. P(even, then 5)3 2=1
- 7. 20 20 1012. What is the probability of a coin landing on heads and a number cube landingon an even number?14

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