Permutations and Combinations
Which method does order matter? Permutation or Combination?
What is Permutation
What is a sample space?
Sample space is the total possible outcomes.
What is the probability of Flipping a Heads OR Drawing a Heart?
P(Flipping a Head or Drawing a Heart) = 1/2 + 13/52 = 39/52
What religious order founded Archbishop Riordan?
What is the The Marinists?
In a room of 23 people, what are the odds 2 people have the same birthday? What about a room of 75?
23 people is 50-50, and 75 is 99.9%
How many different combination(permutations) of 7 objects?
7! or 5040 combinations
What is a probability model?
A probability model gives a probability for each unique outcome
What is the probability of rolling a 6 OR drawing a Queen?
P(Rolling a 6 or Drawing a Queen) = 1/6 + 4/52 = 30/52
How many enrolled students do we have at Riordan?
1206
does .99999 repeating forever = 1?
Yes.
If there are 30 students in the Statistics class, and there is a project that allows them to work with a partners. How many different 2 member project teams may have?
C(30,2)=30!/2!*28! =435
There are 435 different combinations
What does it mean to be Mutually Exclusive?
Mutually exclusive means that 2 events they cannot both happen at the same time.
What is the probability of a 4 or a Heart?
P(4 or Heart) = 4/52 + 13/52 - 1/52 = 16/52
What was the first school year that girls were accepted into Riordan?
What is 2020/2021
What size shoe does the statue of liberty wear?
Size 879
P(10,3)=10!/(10−3)! = 10!/7!
= 720 possible combinations of top 3 finishes
What does it mean to be a complement when dealing with probability?
The complement of an event means that 1- that same event is the odds of it not happening.
What is the probability of drawing 4 Aces without replacement on a single deck of standard cards?
P(4 Aces) = 4/52 * 3/51 * 2/50 * 1/49 = 24/6,497,400 or .00000015 or .000015%
What year did Riordan win the Football League championship?
What is 2000?
We all agree that boys between 18-25 are the largest reckless group of drivers. But what tiny group represents the peak of the most aggressive drivers?
Young women in their 20's
In a study of 100 smokers, 35 were female and 65 were male. Among them, 15 of the females and 25 of the males had cancer.
What is the probability of choosing a female who has cancer?
P(cancer)=total peopletotal with cancer=40/100 = .40
P(female | cancer)=.15/.40 =0.375 or 37.5%
What is the probability of drawing two Kings without replacement?
P(King and King) = 4/52 * 3/51
What is the probability of rolling a 6, drawing a spade and flipping tails
P(Rolling a 6, Drawing a Spade, Flipping Tails) = 1/6*13/52*1/2= 1/4056= .00025 or .025%
What year was Archbishop Riordan founded?
What is 1949?
What percent of (supposedly sober) Americans said they could beat a bear in unarmed combat?
6% (I wonder if 6% of Americans are clowns?)