Probability with Permutations and Combinations Advanced Math Topics

Probability with Combinations and Permutations Ø Follow these steps: l l 1. Determine how many selections/arrangements meet the conditions of the problem 2. Use the FCP to find the number of successes 3. Find the number of s + f (total selections/arrangements) 4. Write a fraction to find the probability

Probability with Combinations Ø Monica has a collection of 32 CD’s- 18 R&B and 14 rap. As she is leaving for a trip, she randomly chooses 6 CD’s to take with her. What is the probability that she selects 3 R&B and 3 rap? l l Step 1: Determine how many 6 CD combinations meet the conditions Step 2: Multiply to find the number of successes Step 3: Find s + f Step 4: Determine the probability by dividing s by s + f

Ø A board ggame is played with tiles and letters on one side. There are 56 tiles with consonants and 42 tiles with vowels. Each player must choose seven of the tiles at the beginning of the game. What is the probability that a player selects four consonants and three vowels? l l Step 1: How many selections meet the conditions Step 2: Find number of successes Step 3: Find s + f Step 4: Determine Probability

Probability with Permutations Ø Ramon has five books on the floor, one for each of his classes: Algebra 2, Chemistry, English, Spanish, and History. Ramon is going to put the books on a shelf. If he picks the books up at random and places them ina row on the same shelf, what is the probability that his English, Spanish, and Algebra 2 books will be the leftmost books on the shelf, but not necssarily in that order? l l Step 1: Determine how many arrangements meet the conditions Step 2: Find the number of successes Step 3: Find s + f Step 4: Determine the probability

Ø For next semester, Alisa has signed up for English, Precalculus, Spanish, Geography, and chemistry classes. If class schedules are assigned randomly and each class is equally likely to be at any time of day what is the probability that Alisa’s first two classes in the morning will be Precalculus and Chemistry, in either order? l l Step 1: Find how many arrangements meet the conditions Step 2: Find the number of successes Step 3: Find s + f Step 4: Find the probablity