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- California
- University of California - Berkeley Extension
- Mathematics
- Mathematics X402
- Jurkat
- Module 5.1- Probability

Christopher W.

• 14

cards
The probability that event A will not happen.

Pr(not A)= 1-Pr(A)

Random Variable

- an uncertain event denoted by X
- discrete: finite, countable values
- continuous: an infinite number of outcomes

Probability distribution

list of all possible values of the variable and corresponding probabilities.

Cumulative Probability

the probability that the value of a random variable is less than or equal to a specific value (calculated by adding up all the probabilities of the values of X that are less than or equal to x.

Three basic parts to probability

- experiment: a process of performing a task that results in one of many outcomes.
- outcome: result obtained when an experiment is performed once.
- sample space: set of all the possible outcomes of an experiment.

Fundamental principle of counting

States that if there are n1 possible outcomes of the first experiment and n2 possible outcomes of the second experiment then the total outcomes of the composite experiment are n1 times n2.

Permutation

(order does matter)

Combination

(order doesn't matter); overcounting must be accounted for

Complementary event

- Dependent event
- Independent event
- Mutually exclusive event/ Disjoint

Mutually exclusive- disjoint events (addition rule)

Not mutually exclusive- not disjoint (*simply adding would over count the probability)

Multiplication rules (use of "and"):

1. Independent events

Multiplication rules (use of "and"):

2. Dependent events

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