The study of chance
What is 'Probability'
A repeatable, random process with a well-defined set of outcomes.
What is a statistical (or random) experiment.
Probabilities can be represented as fractions, ratios, decimals or__________.
What are percentages.
The set of all possibilities of a random experiment
What is the 'possibility space' or 'sample space'
Events that cannot occur together
What is 'Mutually Exclusive'
A way of visualising all the possible outcomes of rolling two dice using two axes
What is a possibility space diagram
A well-defined collection of outcomes of an experiment
What is an event
The set of ways in which a given event, A, does NOT occur in a given possibility space.
What is 'A-complement'
The individual results of a random experiment
What are 'outcomes'
The combination of an event and its complement
The possibility space, S.
Events that, when combined, form the entire possibility space
What are exhaustive events
1 - P(A)
What is the probability of A-complement
One assumption of the Classical Definition of Probability
What is: a finite set of possible outcomes/
outcomes with equal likelihood
The probability of the entire possibility space, S
1 or 100%
P(A) + P(B) - P(A AND B)
What is the probability of A OR B (or the Addition Rule)
What a 6-sided die would be if, when randomly rolled 500 times, landed on '1' 355 times.
What is 'biased' or 'unfair' or 'loaded'
The probability of getting an even outcome when rolling a fair six-sided die once.
What is 1/2 or 0.5 or 50%.
In the experiment of rolling a fair die once, define the event A = { 1, 3, 6 } and event B = { 3, 4, 5 }.
What is the set { 3 } in terms of A and B?
What is 'A and B' or 'A intersect B'.
A fair die is rolled once. Determine the probability of getting a prime number given that the outcome is even
What is 1/3
What is the probability of drawing a King from a standard deck of 52 cards, given that a Queen was drawn first?
What is 4/51
Respond to the prompt on the slide.
What is 20% or 0.2 or 1/5
P(B | A) x P(A)
What is the probability of A and B
What is the probability of getting an even number from the roll of a die, given that the outcome is greater than 5?
What is 1
What is the probability of getting a face card (King, Queen or Jack) given that the outcome is a Diamond or Heart?
What is 6/26 or 3/13
When P(A|B) = P(A) and P(B|A) = P(B)...
What are independent events.