JUST FLIPPING AROUND Created By: J. Whitlock, T.Garcia, and A. Aceves For: Ms. Wiltshire’s Class On: October 2002
Objective Construct a sample space using a tree diagram to determine outcomes and describe the probability of real world events.
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
The Problem What is the probability of getting 2 heads when 2 coins are tossed?
Descriptions A sample space can be used to determine probability. A tree diagram can be used to create a sample space.
TREE DIAGRAM Step One-1 st coin List all possible results of tossing one coin. Coin 1
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
Step Three Sample Space Construct sample space Coin 1 Coin 2 (Possible outcomes) Sample Space
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
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)
Explaining the solution (cont) To change the fraction to a percent: divide move the decimal 2 places and add a percent sign
Step 4 the solution The probability of tossing 2 heads is 1 out of 4 ¼¼ 25% *HH* HT TH TT Sample Space
Works Cited Images and sounds collected from: Microsoft Clipart Gallery I got the animated flipping coin from this site 100,000 Designer Clip Art