Do Now: March 28th A box contains a large number of plastic balls. Some of the balls are red and the rest are green. One ball will be selected at random.

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Presentation transcript:

Do Now: March 28th A box contains a large number of plastic balls. Some of the balls are red and the rest are green. One ball will be selected at random from the box. a. Using only the information you have been given, can you conclude that the probability of getting a red ball is 1 2? Explain why or why not. b. Based on the description of the probability experiment, can you calculate the theoretical probability that a red ball is selected? Explain why or why not. c. What would you have to do in order to find an estimated probability of selecting a red ball?

Lesson 22-1: Probability Games March 28, 2016

Today’s Objectives: Use observed outcomes to estimate probabilities. Use tables to represent the possible outcomes of a probability experiment. Assign probabilities to outcomes in a sample space. Use probabilities assigned to outcomes in a sample space to compute event probabilities.

Notes Theoretical Probability 30/40 = 3/4 Milk Chocolate

Rock Paper Scissors

Player 1 Amiright? Sure! But… What does random mean, again?

Notes Outcomes Sample Space RP S R P S (R,R) (R,P) (R,S) (P,R)(P,P) (P,S) (S,R) (S, P) (S,S)

Notes 7/15 1/9 3/9 = 1/3 1/9 3/9 = 1/3

Rotation: Group 1Group 2Group 3Group 4 1 st THAM 2 nd HMTA 3 rd MAHT 4 th ATMH

Exit Ticket: A variation of RPS is played in some countries, which adds a fourth throw called a Well. In this game: Well beats Rock Well loses to Paper Well beats Scissors Construct a table (like the one in Example 4) that shows the different possible outcomes for a RPSW round. a. What outcomes for RPSW result in a win for Player 1? b. What outcomes result in a win for Player 2? c. Is the probability of a win the same for Player 1 and for Player 2?