Sample Spaces and Count Outcomes

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Presentation transcript:

Sample Spaces and Count Outcomes Chp. 8 Sec 1-B and 1-C pg. 435 - 443

Sample Spaces The set of all the possible outcomes in a probability experiment is called the SAMPLE SPACE. You can use a TREE DIAGRAM to represent a sample space. Let’s say we want to find all the combinations of coke and sprite being sold in either a small cup or large cup. Sample Space Beverage Coke Sprite Size Small Large Coke, Small Coke, Large Sprite, Small Sprite, Large

Sample Spaces Put 2 green cubes in a cup and then 2 blue cubes and 1 red cube in a cup. Draw one cube from cup 1 and 1 cube from cup 2. What is the sample space? Cup 1 Green Cup 2 Blue Red Green, Blue Green Blue Green, Red Green, Blue Green Blue Green, Red

Count Outcomes Fundamental Counting Principle If event M has m possible outcomes and event N has n possible outcomes, then event M followed by event N has m x n possible outcomes. Find the total number of outcomes when you choose one of 5 math teachers and then 1 of 3 science teachers. So you have 5 math teachers x 3 science teachers = 15 outcomes

Count Outcomes You have 5 different candy bars, 4 different bags of chips and 6 different types of drinks. How many possible combinations can you have? 5 (candy bars) x 4 (chips) x 6 (drinks) = 120 combinations How many combinations of just 1 of the types of candy bars with the other chips and drinks? 1 (candy bar) x 4 (chips) x 6 (drinks) = 24 combinations