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McRonald’s

Main Hamburger Fishburger Drink Coffee Coke Milk. Side French Fries Pig Scabs. McRonald’s. A value meal lets you choose 1 main, 1 side and 1 drink from the above choices. How many different value meals can be formed?. Tree Diagram.

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McRonald’s

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  1. Main Hamburger Fishburger Drink Coffee Coke Milk Side French Fries Pig Scabs McRonald’s A value meal lets you choose 1 main, 1 side and 1 drink from the above choices. How many different value meals can be formed?

  2. Tree Diagram As you can see there are 12 different meals that can be formed.

  3. The Multiplicative Principal • We could calculate the outcome sans a tree diagram. • Multiply the options for each choice together: Total Options= (# Choice 1) x (# Choice 2) x (# Choice 3) 2 x 3 x 2 = 12

  4. Indirect Counting • There are 10 players on a soccer team including 4 siblings, Julia, Lucia, Theo and Samuel. How many ways are there of picking the first two to take penalty shots without picking 2 siblings? Shooter 1 Shooter 2

  5. Solution ~ Shooters • There are 10 choices for shooter 1 and then there will be 9 choices for shooter 2 (the same player can’t shoot both times) • 10 x 9 =90 • There are 90 ways to pick the first 2 shooters.

  6. Solution ~ Siblings • There are 4 siblings that could be the first shooter and then 3 that could be the second. • There are 4 x 3 = 12 ways to pick 2 of the siblings.

  7. Mutually Exclusive • We call the events of picking 2 siblings and not picking 2 siblings Mutually Exclusive (ME) (because you can’t do both) Additive Principal • The number of ways of 1 ME event can occur + the number of ways another ME event can occur is equal to the number of ways that one or the other event can occur.

  8. Back to Soccer • The number of ways of picking 2 siblings + the number of ways of not picking 2 siblings is equal to the total number of ways of picking two shooters 12+x=90 x=90-12 =78 There are 78 ways of picking first and second shooter without picking 2 siblings.

  9. Practice • Page 229 • 1 to 20 • Be able to do each, decide how many you need to do.

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