# Probability & Statistics

2019-03-31T20:59:31+03:00[Europe/Moscow] en true Probability Formula, Sample Space, Mutually Exclusive Events, Addition Rule of Probability, Probability Event, Union of Events, Random Sample, Intersection of Events, Conditional Probability Formula, Complement of an Event, Conditional Probability, Two-Way Frequency Table, Independent Events, Dependent Events, Formula for Independent Events flashcards Probability & Statistics
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• Probability Formula
The ratio of number of favorable outcomes to the total number of possible outcomes.
• Sample Space
The range of values of a random variable.
• Mutually Exclusive Events
In logic and probability theory, two propositions (or events) are disjoint if they cannot both be true (occur).
If events A and B come from the same sample space, the probability that event A and/or event B occur is equal to the probability that event A occurs plus the probability that event B occurs minus the probability that both events A and B occur. P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
• Probability Event
A set of outcomes of an experiment (a subset of the sample space) to which a probability is assigned.
• Union of Events
Represented by A \$\cup\$ B. Here, P (A) is the probability of event A, P (B) is the probability of event B.
• Random Sample
A statistical population in such a way that every possible sample that could be selected has a predetermined probability of being selected.
• Intersection of Events
The probability that Events A and B both occur is the probability of the intersection of A and B.
• Conditional Probability Formula
A notation for the probability of B given A. In the case where events A and B are independent (where event A has no effect on the probability of event B), the conditional probability of event B given event A is simply the probability of event B, that is P(B).
• Complement of an Event
All outcomes that are NOT the event. So the Complement of an event is all the other outcomes (not the ones we want).
• Conditional Probability
The probability of an event ( A ), given that another ( B ) has already occurred.
• Two-Way Frequency Table
Two-Way Frequency Table: You can probably guess that a two-way frequency table will deal with two variables.
• Independent Events
When two events are said to be independent of each other, what this means is that the probability that one event occurs in no way affects the probability of the other event occurring.
• Dependent Events
Two events are dependent if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed.
• Formula for Independent Events
When running independent experiments, the usage of the product formula P(A∩B) = P(A) P(B) is justified on combinatorial grounds. For a pair of independent events, the formula serves as a definition.