Math CC7/8 – Be Prepared Unit: What Do You Expect? On Desk: Journal: 1) Date: 1/10/2019 2) Title: WDYE 2.3 Designing a Fair Game 3) Sign off neighbor's HW from Wednesday Turn In: MSA Test with signatures-Due Friday In Your Planner: HW: WDYE p. 38 #8, 9, 26 Quiz-Monday MSA Retake-Thurs. Jan. 24

Tasks for Today Warm Up Finish Lesson 2.2? Do Lesson 2.3 – Possible and Probable Begin HW?

Show ALL work with Proper notation!! Warm Up Show ALL work with Proper notation!! A bag contains 3 red marbles, 7 blue marbles, and 6 yellow marbles. What is the probability of drawing a marble that is not red? What is the probability of drawing a marble that is either red or blue? P(not red) = 1 – P(red) = 1 - 3/16 = 13/16 P(R or B) = P(Red) + P (Blue) = 3/16 + 7/16 = 10/16 = 5/8

Model how to make this tree diagram on the board and students copy in their journals.

The sample space for tossing three coins is the list of all possible outcomes. There are 8 possible outcomes, and they are all equally likely.

P (3 coins match) = 2/8 or 1/4 P (exactly 2 coins match) = 6/8 or 3/4 No, this is not a fair game. Tevy has more chances to score a point (2 coins match), so he is more likely to win.

If time, model building another tree diagram. You would expect exactly 2 coins to match ¾ of the time. ¾ of 24 = 18 P (exactly 2 coins match) = 18/24 trials Santo means that all 3 coins match sometimes. Tevy is saying the probability is less than ½. If time, model building another tree diagram.

The Kellys are planning their vacation activities The Kellys are planning their vacation activities. The first day they can go to the zoo or the museum, the second day they can go to the pier or the dunes, and the third day they have to choose sailing, swimming, or horseback riding. 2. The concession stand offers these drink choices: Drinks: Lemonade Fruit Punch Apple Cider Sizes: Small Medium Large Jumbo

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What is a good strategy for finding all the possible color pairs? Make a tree diagram!!

Tree Diagram Choosing a block from 2 bags KEY First Bag Second Bag Outcome Probability R R R R Y R Y R B B R Start Y R Y Y Y Y B Y B R B B R Y B Y B B B

P (contestant will win the bonus prize) = 1/9 The theoretical probability of each pair being chosen is 1/9. P (contestant will win the bonus prize) = 1/9

P (RR) = 1/9 Akimi only has a 1/9 chance of winning. P (BR or RB) = 2/9 Brelynn has a greater chance of winning

Yes, each contestant has a 1/9 chance of winning the bonus prize. No, it is not likely they will win. There is a greater chance of losing. P (winning) = 1/9 = 2/18 You would expect to win only 2 out the 18 times played.