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JUST FLIPPING AROUND Created By: J. Whitlock, T.Garcia, and A. Aceves For: Ms. Wiltshire’s Class On: October 2002

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Objective Construct a sample space using a tree diagram to determine outcomes and describe the probability of real world events.

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Probability Defined The probability of an event is the ratio of the number of ways an event can occur to the number of possible outcomes. Number of ways P(event)= an event can occur number of possible outcomes

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The Problem What is the probability of getting 2 heads when 2 coins are tossed?

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Descriptions A sample space can be used to determine probability. A tree diagram can be used to create a sample space.

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TREE DIAGRAM Step One-1 st coin List all possible results of tossing one coin. Coin 1

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TREE DIAGRAM Step Two-2 nd coin List all possible outcomes for second coin next to each outcome of first coin Coin 1 Coin 2

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Step Three Sample Space Construct sample space Coin 1 Coin 2 (Possible outcomes) Sample Space

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Explaining the solution Count the number of items in the sample space-this is the possible outcomes (4) Count the number of outcomes with 2 heads-this is the correct outcomes (1) Write as a ratio: correct out of possible 1 out of 4

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Explaining the solution (cont) To change the ratio to a fraction, write the 1st number as the top and the 2nd number as the bottom. (1/4)

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Explaining the solution (cont) To change the fraction to a percent: divide move the decimal 2 places and add a percent sign

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Step 4 the solution The probability of tossing 2 heads is 1 out of 4 ¼¼ 25% *HH* HT TH TT Sample Space

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Works Cited Images and sounds collected from: Microsoft Clipart Gallery I got the animated flipping coin from this site 100,000 Designer Clip Art

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THE END Any Questions?

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Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions.

Aspire - To be able to construct a tree diagram from worded questions. Challenge – To be able to complete and use a tree diagram to solve probability questions.

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