Permutations and Combinations
Notations
Experimental vs. Theoretical
Independent or Dependent?
Examples
100
This type of counting procedure arranges objects where order DOES matter.
What is a Permutation
100
nCr
What is a Combination
100
The probability of the number of success over the total amount of outcomes.
What is Theoretical Probability
100
Equation for two Independent events
What is P(A and B)=P(A)*P(B)
100
Odds of winning if the probability of winning is 2/9
What is 2 to 7 or 2:7
200
A baseball lineup is an example of this type of counting principle.
What is a Combination?
200
P(n,r)
What is a Permutation of n objects taken r at a time.
200
This type of probability describes discovered results.
What is Experimental Probability.
200
Equation for two Dependent events
What is P(A and B)=P(A)*P(B|A)
200
The probability of Mr. Michalicek getting an A on his final exam is 3/4. What are the odds that he will NOT get an A?
What is 1/3
300
What equation describes a Permutation?
What is n factorial over n minus r factorial
300
s/f where s is the number of successes and f is the number of failures.
What are the odds of an event?
300
Theoretical Probability of rolling a dice and getting an even number.
What is 1/2.
300
How we can tell if an event is Independent or Dependent.
What is an Independent event is an event that is not influenced by another event, a Dependent event is influenced by another event.
300
There are 6 men and 3 women on the city council. A committee of 2 is to be selected at random to study the city's plans for city building expansions. What is the probability that the 2 selected are women?
What is 1/12
400
Solve this problem: 6 girls from a group of nine are chosen to start the championship volleyball game. How many different ways can the lineup be chosen?
What is 84 ways
400
P(A and B)=P(A)*P(B)
What is two independent probabilities.
400
Yesterday when shooting hoops Mr. Michalicek made 30 3-point shots out of 45 attempts. What is the probability of Mr. Michalicek making another 3-point shot?
What is 30/45 or 2/3
400
Probability of rolling a 6 sided dice 3 times and getting a 6 each time
What is 1/36
400
The Scrabble tiles A,B, E, I, J,K, and M are placed face down in the lid of the game and mixed up. Two tiles are chosen at random. What is the probability of two 2 vowels being selected if replacement occurs.
What is 9/49
500
How many ways can we arrange the word Parallel?
What is 3360 ways
500
P(A or B)= P(A)+P(B)-P(A and B)
What is Inclusive events.
500
The difference between Experimental and Theoretical Probability.
What is Experimental is the number of successes over the number of trials compared to Theoretical which is the number of successes over the total possible outcomes.
500
From a deck of 52 cards, a 7, 10, and then another 7 are selected in that order. Find the probability of the event occurring if the cards are not replaced.
What is 2/5525
500
From a group of of 4 men and 5 women, a committee of 3 is formed. What is the probability that this committee will have at least 2 men?
What is .405