Week 2 Flashcards
Sample Space
Set of all possible experimental outcomes. Discrete or continuous
Discrete Sample Space
Finite number of elements. Only certain points between two values
Continuous Sample Space
Continuum of elements. All points between two values.
Mutually exclusive events
No elements in common, One thing happens the other thing cannot happen
Unions
Either element
Intersections
Both Elements
Complements
Not that element
Venn Diagram
uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items
How do you determine the number of possibilities in a solution?
Number of possibilities determined by multiplication of choices. EX: True/False question with 12 questions would be: 2x2…2=2^12=4096
Permutations
Particular Order. nPr=n!/(n-r)! where n>r
Combinations
No particular order. (n r)=n!/(r!*(n-r)!)
Probability
how likely something is to happen and always measured between 0 & 1. EX: getting a 6 on a dice roll = 1/6
Conditional Probability
What is the probability of an even (A) happening given that another event (B) has occurred.
Bayes Theorem
Bayes’ Theorem states that the conditional probability of an event, based on the occurrence of another event, is equal to the likelihood of the second event given the first event multiplied by the probability of the first event.