OUTCOME PERCENTAGES FINDING THE PERCENTAGE OF LIKELIHOOD THAT A CERTAIN OUTCOME WILL OCCUR

LET’S THINK ABOUT THIS… How many possible combinations are there in total? How many combinations start with 3? What fraction represents the number of combinations that start with 3? 6 2

8 4 How many passwords are there in total? How many passwords have at least two B’s? What’s the fraction that represents passwords with at least two B’s? Now we can go from a fraction to a percent:

What’s the fraction that represents passwords with no A’s? Now we can go from a fraction to a percent:

SHORTCUT: GOING STRAIGHT FROM A FRACTION TO A PERCENT

Using three different keys on a piano, a songwriter makes the beginning of his melody with three notes, C, E, and G: CCE, EEE, EGC, GCE, CEG, GEE, CGE, GGE, EGG, EGE, GCG, EEC, ECC, ECG, GGG, GEC, CCG, CEE, CCC, GEG, CGC From the list above, what is the percent of melodies with all three notes that are different? From the list above, what is the percent of melodies that have three of the same notes?

STEPS FOR FINDING THE PERCENTAGE OF POSSIBLE OUTCOMES OR 1.Determine the total possible outcomes 2.Determine how many outcomes have the result you’re looking for (favorable outcomes) 3.Plug those numbers into: = (as decimal) × where the quantity is the number of different favorable outcomes the whole is the total number of possible outcomes

Peeta is baking and has 5 different ingredients: flour, milk, eggs, sugar, and chocolate chips. His cookbook has 20 recipes that use those 5 ingredients, but only 20% of those recipes use chocolate chips. How many recipes use chocolate chips? x = (.20)20 x = 4 4 recipes use chocolate chips. Quantity = Percent(as a decimal) x Whole Quantity: X Percent: (as a decimal) Whole:

Outcomes You have three shirts and four pairs of pants to choose from. How many different combinations are there?

5 ice cream flavors x 4 toppings= different ways to order a sundae at Scott’s Sundae Shop. You Try: You order an ice cream sundae at Scott’s Sundae Shop. You have 5 ice cream flavors and 4 toppings to choose from. How many different ways could you order a sundae?

PRACTICE!