2. Probability You will learn to identify the probability of an event as certain, impossible, maybe likely or maybe not likely, use a number line to show the probability of an event, express probability as a decimal and percent, express probability of an event with a number between 0 and 1.

3. probability – ratio of number of ways the favorable outcome can occur to the total number of equally likely possible outcomes

5. Probability of 1 is the probability that an event is likely [certain] to occur. Probability of 0 is the probability that an event is not likely [impossible] to occur. Probability of 1/2 is the probability that an event is as likely to occur as it is not to occur.

6. Maybe yes, maybe no

7. Determine Probability Step 1: find the total number, this will be the denominator Step 2: find the desirable outcomes, this will be the numerator Step 3: write as a fraction

9. Rolling Dice. What is the probability of rolling a 6 when rolling a standard 6-sided number cube? How many 6’s are there? How many possible outcomes?

10. Rolling Dice. The odds of rolling a six are:

11. Spinner What is the probability of the spinner landing on “1”?

12. Spinner What is the probability of the spinner landing on “2”?

13. Spinner What is the probability of the spinner landing on “3”?

14. P(M) P(vowel) P (B) P(Not T) P(A or T)

15. The weather man predicted that there is a 30% chance of rain tomorrow, what is the probability of a sunny day? On a popular game show, contestants pick a suitcase containing money. If there were 10 suitcases, and only one contained the grand prize of $1 million, what is the probability of not picking the suitcase containing the grand prize. You have a 90% chance of getting an A in this class, what is the probability of not getting A?

16. You are fishing in a pond stocked with fish. The table shows a recent fish count. Find each probability. 1.P(sunfish) 2.P(smallmouth bass) 3.P(large mouth bass) 4.P(sunfish or crappie) 5.P(catfish) 6.P(not a sunfish) 7.P(not a crappie or not a sunfish) 8.P(sunfish or smallmouth bass) 9.P(catfish or largemouth bass) 10. P(smallmouth bass or largemouth bass) Sunfish 90 Crappie 33 Smallmouth bass 15 Largemouth bass 12 Total 150

18. Theoretical probability: what you think might happen Experimental probability: what ACTUALLY happened

19. You ask 150 people to choose a number from 1 to 6. The results are shown in the table. Find the experimental probability of a person choosing 5. NumberChoic e 117 231 323 432 520 627

20. You randomly draw a marble from a bag of 220 marbles. Your record its color and replace it. Use the results to estimate the number of marbles in the bag that are yellow. RedYellowBlueGreen 910127

21. Dependent and Independent Events Randy and Kara must each choose a topic from a list of topics to research for their class. If Raji’s choice has no effect on Kara’s choice and vice versa, the events are independent. For independent events, the occurrence of one event has no effect on the probability that a second event will occur. If once Raji chooses a topic, Kara must choose from the remaining topics, then the events are dependent. For dependent events, the occurrence of one event does have an effect on the probability that a second event will occur.

22. Dependent and Independent Events Kathi draws a 4 from a set of cards numbered 1–10 and rolls a 2 on a number cube.

23. Dependent and Independent Events Yuki chooses a book from the shelf to read, and then Janette chooses a book from the books that remain.

24. Dependent and Independent Events Annabelle chooses a blue marble from a set of three, each of different colors, and then Louise chooses a second marble from the remaining two marbles.

25. Decide whether each event is independent or dependent. Explain. 1.Mary chooses a game piece from a board game, and then Jason chooses a game piece from three remaining pieces. 2.Sarah picks one item from a vending machine and then another item from a different machine.

26. Probability of Compound Events

27. Find the probability of choosing a green marble at random from a bag containing 5 green and 10 white marbles and then flipping a coin and getting tails

28. Find the probability of choosing a red marble at random from a bag containing 5 red and 5 white marbles and then flipping a coin and getting heads.

29. A reading list contains 5 historical books and 3 science-fiction books. What is the probability that Juan will randomly choose a historical book for his first report and a science-fiction book for his second?

30. Alice was dealt a hand of cards consisting of 4 black and 3 red cards. Without seeing the cards, what is the probability that the first card will be black and the second card will be red?