Fundamental Principle of Counting

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Fundamental Principle of Counting

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Presentation transcript:

Fundamental Principle of Counting

Definition If one event has m possible outcomes and a second event has n possible outcomes, then the total number of possible outcomes is m x n

Total Number of Choices The Bay View serve burgers for main course and two types of deserts, cheesecake and chocolate fudge cake. How many choices do you have? Main Course Desert 1 Choice 2 Choices Total Number of Choices 1 x 2 = 2

Total Number of Choices The Bay View serve burgers, steak & chips or salmon for main course and two types of deserts, cheesecake and chocolate fudge cake. How many choices do you have? Main Course Desert 3 choices 2 Choices Total Number of Choices 3 x 2 = 6

Total Number of Choices A local garage have three cars on sale, an A5 Audi, a Toyota Yaris and a Subaru. How many choices do you have? Types of Cars Colours 3 Choices 4 Choices Total Number of Choices 3 x 4 = 12

Total Number of Choices A restaurant offers 4 types of starter and 5 main courses and 3 desserts. How many different meals are possible, consisting of starter, main course and dessert ? 5 choices for main course 3 choices for dessert 4 choices for starter Total Number of Choices 4 x 5 x 3 = 60

Z

Can you work out the probability of a draw? Z Rock Paper Scissors Play the game for 5 minutes, then write down all the combinations you can get How many combinations are there in total? How many combinations lead to a win? How many combinations lead to you winning? How many combinations lead to your opponent winning? Scissors beats paper (cuts it) Paper beats Rock (wraps it) Rock beats scissors (blunts it) Showing the same is a draw Can you work out the probability of a draw?