Probability and Counting Rules Flashcards
(26 cards)
It can be used to quantifty what the odds are that a specific event will occur
Probability
Can be defined as the chance of an event occurring
Probability
Is the chance process that leads to well-defined results called outcomes
Probability experiment
Is the set of all possible outcomes of a probability experiment
Sample space
Is the result of a single trial of a probability experiment
Outcome
It consists of outcomes
Event
Is a device consisting of line segments emanating from a starting point and also from the outcome point.
Tree diagram
Three basic interpretations of probability
Classical probability, empirical probability, subjective probability
Uses sample spaces to determine the numerical probability that an event will happen and assumes that all outcomes in the sample space are equally likely to occur.
Classical probability
True or False: Probabilities should be expressed as reduced fractions or rounded to two or three decimal places
True
What probability rule states that probabilities cannot be negative or greater than 1
Probability Rule #1
What probability rule states that If an event E is certain, the probability of E is certain to occur.
Probability Rule #3
What probability rule states that if an event E cannot occur, its probability is 0
Probability Rule #2
What probability rule states that the sum of the probabilities of all outcomes in the sample space is 1
Probability Rule #4
It is the set of outcomes in the sample space that are not included in the outcome of event E
Complement of an event E
Relies on the actual experience to determine the likelihood of outcomes
Empirical probability
Uses a probability value based on an educated guess or estimate employing opinions and inexact information
Subjective probability
Two events are ____ if they cannot occur at the same time (no outcomes in common)
Mutually exclusive events
What rules if mutually exclusive events
Addition rule of probability
Two events A and B are _____ if the facts that A occurs does not affect the probability of B occurring
Independent Events
if the outcome of the first event affects the outcome of the second event that probability is changes, the events are said to be?
Dependent Events
Is the probability that the second event B occurs given that the first event A has occurred
Conditional probability
What is the other term for fundamental counting rule
Multiplication of choices
It is the product of all positive numbers from 1 to a number
Factorial