Definitions
The likelihood of an event occurring
What is probability?
What is the probability of flipping a coin and landing on Tails?
1/2 or 0.5
Mathematical Notation for Conditional Probability
What is "P(B|A)"?
The product of the integers from 1 to n, represented as "n!"
What is an n-factorial?
How many faces are in a deck of cards? How many cards are in each face?
4 faces (spades, cloves, diamonds, hearts); 13 cards in each face (52 total cards)
The set of all possible outcomes
What is sample space?
The probability of rolling a dice and landing on a 4?
At the movie theater, 75% of customers buy popcorn. Only 20% of customers buy popcorn and candy. What is the probability that a customer who buys popcorn also buys candy?
4/15, or about 26.7%
nPr when n = 12, r = 5
12 × 11 × 10 × 9 × 8 = 95040
#1 music artist on Spotify in the world right now
Who is The Weeknd?
Number of favorable outcomes / Sample Space
What is theoretical probability?
We roll two dice. What is the probability of the sum of both adding up to a number greater than 8?
10/36 or 0.277
A bag contains 10 red marbles and 5 blue marbles. If you randomly select 3 blue marbles from the bag in a row, you get $1,000,000. You are given two options:
1) You are able to replace each marble before selecting the next one.
2) You are not able to replace each marble before selecting the next one.
Which chance would give you a higher likelihood of selecting three blue marbles in a row?
What is "Option 1: You are able to replace each marble before selecting the next one."
How many ways can seven books be arranged on a shelf?
7! = 5040
The national animal of Scotland
What is a unicorn?
P(A and B) = P(A) x P(B)
What is the probability of independent events?
We draw a card from a deck. What is the probability the card is not a King?
12/13 or 0.923
A quality-control inspector checks for defective parts. The table shows the results of the inspector's work.
Pass Fail
Defective 5 24
Non-defective 208 9
If I ask you to find the probability that a defective part "passes," how would you represent the conditional probability in the format of "P(B|A)"?
What is "P(pass|defective)"?
How many ways can we award a 1st, 2nd and 3rd place prize among eight contestants?
8x7x6 = 336
The one letter that does not show up in any U.S. state name
What is 'Q'?
Events that have no outcomes in common
What is disjoint or mutually exclusive?
True or False: Experiments are required to be conducted to calculate the theoretical probability of an event.
False
Why do you multiply the probability of event A and the probability of event B to find the probability of event A and B?
We multiply probabilities when events occur simultaneously, or consecutively. We only add probabilities when the events are alternatives. (Example: achieving an A or a B or a C on an exam)
True or False: Order does not matter for permutations
False
111,111,111 X 111,111,111 = ?
12,345,678,987,654,321