WDYE? 3.3: Analyzing a Game: Roller Derby Learning Target: I will list all possible outcomes for a game and analyze winning strategies. HW: Complete the WDYE Investigation 3.1 p. 10 and Correct with the Zaption video: WDYE 3.3 Warm Up: George has a bag with 12 yellow marbles, 6 green marbles, 8 purple marbles, and 4 blue marbles. If he wants the probability of picking a yellow marble to be ½, what should George do?

Warm Up: George has a bag with 12 yellow marbles, 6 green marbles, 8 purple marbles, and 4 blue marbles. If he wants the probability of picking a yellow marble to be ½, what should George do? Add 6 yellow marbles P(Y) = green 8 purple 4 blue 18 marbles 12 yellow marbles

Which sums seem to occur most often? Which sums do not come up very often? What is a good strategy for placing your markers on the game board? 6, 7, 8 1, 2, 11, 12 1 is impossible Sums near the center (6, 7, 8) are more likely to occur than sums at the ends.

the sums for all of these outcomes the pairs of numbers you can get from rolling two number cubes 3. Are all of the sums equally likely? Explain. 4. How many ways can you get a sum of 2? 5. What is the probability of getting a sum of 4? 6. What is the probability of getting a sum of 6? 7. Which sums occur most often? 1 way = roll a 1 on both cubes P(4) = 3/36 = 1/12 1,3 3,1 2,2 P(6) = 5/36 (1,5 5,1 2,4 4,2 3,3 No – it’s equally likely to get each pair of numbers, but not equally likely to get each sum. 7 (1,6 2,5 3,4 4,3 5,2 6,1)

C. Now that you have looked at the possible outcomes of the Roller Derby game, do you have any new strategies for winning? Explain. There are more ways to get sums that are closer to the middle numbers (6, 7, and 8), so the markers should be clustered toward the middle.

WDYE? 3.3: Analyzing a Game: Roller Derby Did I Reach my Learning Target? I will list all possible outcomes for a game and analyze winning strategies. HW: Complete the WDYE Investigation 3.1 p. 10 and Correct with the Zaption video: WDYE 3.3

Exit Ticket Find the theoretical probability of landing on 1, 2, and 3 on each spinner. Use probability notation and simplify fractions, if possible. Spinner 1 P(1) = 1/3 P(2) = 1/3 P(3) = 1/3 Spinner 2 P(1) = 1/4 P(2) = 2/4 = 1/2 P(3) = 1/4 Spinner 3 P(1) = 2/6 = 1/3 P(2) = 3/6 = 1/2 P(3) = 1/6 Pass Back Exit Tickets and Review Answers

Exit Ticket Are the possible outcomes A, B, C equally likely? Show your thinking and explain your answer. If you spin the spinner 240 times, how many times would you expect to land on A?