Combination
How do you know when to use Combination?
When order does not matter
How do you know when to use a Permutation.
When order matters.
How do you know when to use a Binomial Probability?
When you are looking for a certain number of successes.
How do you know when you are using a Geometric probability?
When you are looking for the first success.
What is a factorial?
A series of multiplications starting with a given number decreasing all the way down to 1
9 C 2 = ?
36
11 P 3 = ?
990
What does the phrase "at most" tell you that you have to do?
You have to do the problem multiple times where r is the given number decreasing all the way to 0.
What is the probability that your first correct answer to a true/false test is the 6th question?
0.15625
10! = ?
3628800
How many different committees of 6 people can be made if 30 people are applying?
593775
How many different ways can a president, secretary, and treasurer be elected from a group of 10 students?
720
What is the probability that you will get 6 questions correct on a 10 question true/false test?
0.2051
What is the probability that your name is selected 8th to win a prize if there are 30 names in the hat?
0.02629
How many different ways could you rearrange the letters in the word: ACALCULIA
15120
You and 59 other students are applying to be on "The Price is Right". If they are selecting five people from the audience, how many groups of applicants can be selected?
5461512
You and fourteen other students are running in a race. How many different ways could they award first and second place?
210
What is the probability that you will get all of the questions correct on a 15 question multiple choice test (with A, B, C, and D as your possible answers for each question)?
0.00000000931
What is the probability that your first correct answer to a basic multiple choice quiz is the 19th question?
0.0014
How many different ways can you arrange the letters in the word: SUPERSTITION
59875200
You and nineteen other teenagers walk into the mall when you notice a news station van parked out front. The reporter tells your group that they will be randomly selecting five students to interview. What is the probability that you and your close group of 4 other teenagers will be interviewed?
1/15504
You and 23 other people are applying to be an officer on the student council. What is the probability that you become vice president if the positions open are president, vice president, secretary, and treasurer?
1/255024
What is the probability that you will get at most 3 out of 5 questions correct on a true/false quiz?
0.8125
What is the probability that your first correct answer to a multiple choice test with 5 optional answers is the 6th, 7th, or 8th questions?
0.1599
What is the probability that you will get one or two questions correct on a 10 question true/false test?
0.0537