Probability Review Day 1

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Presentation transcript:

Probability Review Day 1 Counting Rules Permutations Combinations Warm Up: In your own words, define permutation, combination, and counting rules. Do you see any similarities or different in all those three?

Story A & B Partner Work Each choose a story Decide whether its permutation or combination. Explain to each other why

Homework Questions

Review: What is the counting rules? What is permutation and how do I calculate? What is combination and how do I calculate?

Graphic Organizer: How do I choose? a list of choices can be repeated Counting Principle Same role Choose group Specific roles 1st, 2nd, etc... arrange Permutation Combination

Let’s get our blood pumping in our body by moving  Three corners Mrs tran will post a problem on the board Pick your corner to go to in the back Prepare to answer why to your choices

Ready Set Go!!!!!!!!!! 1. A box contains 12 black and 8 green marbles. In how many ways can 3 black and 2 green marbles be chosen? Combination 12C3 * 8C2

Here it goes again: Six different books will be displayed in the library window. How many different arrangements are there? Permutation 6P6=6*5*4*3*2*1=720

Here it goes again: In a talent show, the top 3 performers of 15 will advance to the next round. In how many ways can this be done? Combination

Here it goes again: Leroy can afford to buy 2 of the 6 CD’s he wants. How many possible combinations could he buy? Combination 6C2 =(6*5)/(2*1) = 15

Here it goes again: How many ways can a student government select a president, vice president, secretary, and treasurer from a group of 6 people? Permutation

Here it goes again: The code for a lock consists of 5 digits. The last number cannot be 0 or 1. How many different codes are possible? Counting Rule 10*10*10*10*8 = 80,000

Here it goes again: How many ways can a stylist arrange 5 of 8 vases from left to right in a store display? Permutation

Here it goes again: The swim team has 8 swimmers. Two swimmers will be selected to swim in the first heat. How many ways can the swimmers be selected? Combination

Here it goes again: Awards are given out at a costume party. How many ways can “most creative,” “silliest,” and “best” costume be awarded to 8 contestants if no one gets more than one award? Permutation

Here it goes again: In how many ways can 4 call letters of a radio station be arranged if the first letter must be W or K and no letters are repeated? Counting Rule 2*26*25*24

Here it goes again: How many ways can a 2-digit number be formed by using only the digits 5–9 and by each digit being used only once? Permutation

Here it goes again: There are 12 different-colored cubes in a bag. How many ways can Randall draw a set of 4 cubes from the bag? Combination

To find the number of combinations, the formula for permutations can be modified. Because order does not matter, divide the number of permutations by the number of ways to arrange the selected items.