Combination & Permutation 1
What is 479,001,600
In how many ways can you arrange 6 dogs in a line?
What is... 720
Definition of probability
What is... The chance or likelihood that an event will happen.
Theoretical Probability
What is... Number of Favorable outcomes / Total number
In a class of 40 students, 8 are in the drama club and 12 are in the art club. If a student is selected at random, what is the probability that the selected student is in the drama club?
What is 1/5 or 20%
How many ways can you arrange the letters in the word SOCCER
What is 360 ways
A party has 28 people, each person shakes hands with everyone else. How many handshakes are there?
What is... 378 handshakes
2 methods of probability
What is... List and Tree Diagram
Experimental probability
What is... Number of successes / Number of trials
If a bag contains 2 black, 3 blue and 5 yellow marbles. What is the probability of pulling a black marble and not replacing it, and then a yellow marble from the bag?
What is 5/45
10 blind mice are running in a cheese race. In how many ways can the 10 mice finish first, second and third. (Assuming there are no ties)
What is 720
5th term in expansion of (2x-1)5
What is... 10x
Independant event
What is... The result of one event does not affect the result of another event
Permutation Formula
nPr = n!/(n-r)!
Each of the letters of the word “SUCCESS” is written on a card and all the cards are placed into a bag. A card is randomly selected from the bag. Find the probability that the card bears the letter "S"
What is 3/7
There are 12 people in a race, 5 of them are close friends. In how many ways can the 5 medals be awarded if the friends hold the top 5 positions.
What is... 120
Expand (y+2x)4 completely.
What is... y4 + 8xy3 + 24x2y2 +32x3y + 16x4
Dependant event
What is... the result of one event affect the result of the second event.
nCr = n!/ (n-r)!r!
A chest contains 8 green toy soldiers, 4 blue soldiers, and 3 yellow. You randomly grab a soldier and then grab another for your friend. You both look and both get yellow. What is the probability of this happening?
What is... 1/35
A group of 25 people are waiting to get on the elevator in groups of 5.They are deciding who will go on its third trip. What are the number of possibilities.
What is... 53,130
Coefficient of x2 in (x+3)4
What is... 54
The 3 parts of probability experiment
What is... Outcomes, Events and Sample Space
Using combination to find coefficients of a term.
nCr (x)n-r(y)r
Coleman wants a new fortnite skin, he has to guess his mom's 16 digit credit card number. All of the spaces are numbers, and they can repeat. However, the last 6 spaces do not contain 5,3,2, and 8. What is the probability he will guess the card so he can buy the fortnite skin?
what is... 1/4.6656E14