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Probability u Tree Diagrams

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Tree Diagrams u Shows all possible outcomes – Total amount of choices from a group of items – How many of a particular item out of all the possible choices

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PROBLEM: 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 item, in this case 1 to 5 1 2 3 4 5

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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

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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 3. 1 2 3 4 5

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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. 1 2 3 4 5 RWBRWB RWBRWB RWBRWB RWBRWB RWBRWB

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PROBLEM: How many options are there of picking a number from 1 to 5 and choosing the color red, white, or blue u Go to the last column of the tree diagram and count how many options are listed. 1 2 3 4 5 RWBRWB RWBRWB RWBRWB RWBRWB RWBRWB

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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

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PROBLEM: What is the chance of choosing the color red? u There are five different times the color red could be chosen from all 15 options u The chance of having the color red is 5/15 or reduced is 1/3

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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. 2. What is the chance of having a hot dog? Write in fraction form. H E L P!

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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

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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 STOP

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TREES AND COUNTING TECHNIQUES When we simple events like rolling a die, the number of possible outcomes is easily found. When you start to have multiple.

TREES AND COUNTING TECHNIQUES When we simple events like rolling a die, the number of possible outcomes is easily found. When you start to have multiple.

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