Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw.

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Presentation transcript:

Z

Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw  You will play the game 10 times against me  Every time you win put a tally mark. Ties don’t count Is it a fair game?

Scissors Paper Stone Player A Scissors Paper Rock Z

Scissors Paper Rock Scissors Paper Rock Scissors Paper Rock Scissors Paper Rock Draw I Win You Win Draw I Wins I Win You Win Draw 3/9 = Z 1/3 That means that theoretically you should have won 10 times.

S P R S P R S P R S P R SS SP SR PS PP PR RS RP RR Z OUTCOMES How many outcomes are possible? 9 How many outcomes have Rock as a possibility? 5 What is the probability of one or more player selecting a Rock? 5/9

Practice Writing Outcomes tree diagram pictures.docx

PROBLEM: On Whiteboard How many options are there of picking a number from 1 to 5 and choosing the color red, white, or blue u First write a list down the paper of the first part

PROBLEM: How many options are there of picking a number from 1 to 5 and choosing the color red, white, or blue u Now determine how many options there are for the second item There are 3 options: Red White Blue

PROBLEM : How many options are there of picking a number from 1 to 5 and choosing the color red, white, or blue u Draw “branches” off of each number. One for each second item, in this case

PROBLEM: How many options are there of picking a number from 1 to 5 and choosing the color red, white, or blue u At the end of each branch, write one of the three options from the 2 nd items given RWBRWB RWBRWB RWBRWB RWBRWB RWBRWB

PROBLEM: How many options are there of picking a number from 1 to 5 and choosing the color red, white, or blue u Write your outcomes RWBRWB RWBRWB RWBRWB RWBRWB RWBRWB 1R 1W 1B 2R 2W 2B 3R 3W 3B 4R 4W 4B 5R 5W 5B

PROBLEM: How many options are there of picking a number from 1 to 5 and choosing the color red, white, or blue u There are a total of 15 total choices listed

Videos u Tree Diagram Resources.docx Tree Diagram Resources.docx

Your turn! Please do on your own paper. Do not move forward until teacher checks your work. 1. Give the total number of outcomes of choosing a hamburger, hot dog, or chicken and potato salad, coleslaw, or beans. Use a tree diagram.

PROBLEM : 1.Give the total number of outcomes of choosing a hamburger, hot dog, or chicken and potato salad, coleslaw, or beans. Use a tree diagram. u Answer: Hamburger Hot dog chicken potato salad beans coleslaw

PROBLEM : 2. What is the chance of having a hot dog? Write in fraction form. u Answer: – First find out how many total options there are. Here there are a total of nine choices. This is your denominator. – Next find out how many options have a hot dog. Here there are a total of three choices. This is your numerator. – Finally, put the fraction in simplest form. u The answer is 3/9 and then simplified is 1/3