Chapter 5.1 Flashcards

1
Q

A value between 0 and 1, inclusive, describing the relative possibility an event will occur

A

Probability

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2
Q

How to calculate probability as odds

A

x/(x+y)
an example would be the odds are 5 to 2 or 5/(5+2)

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3
Q

A process that leads to the occurrence of one and only one of several possible results

A

Experiment

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4
Q

Outcome

A

A result of an experiment

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5
Q

A collection of one or more outcomes of an experiment

A

event

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6
Q

Probability that is based on the assumption that the outcomes of and experiment are equally likely. What is the formula

A

Classical probability
Probability of event = number of favorable outcomes/number of possible outcomes

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7
Q

What is the multiplication formula

A

Total arrangements = (m)(n) where m & n are total number of possibilities if events. If you toss three dice, there are 6 outcomes for each dice so the formula would be (6)(6)(6)

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8
Q

When there is a single group of events and we want to determine the number of all possible arrangements of an outcome from the group.
An arrangement of r objects selected from a single group of n possible objects

A

Permutations

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9
Q

What is the permutation formula

A

nPr = n!/(n-r)!

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10
Q

An event of outcomes when the order of the outcomes does not matter

A

Combination

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11
Q

What is the combination formula

A

nCr = n!/r!(n-r)!

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12
Q

The probability of an event based on a collection of observations or data. State the term and formula

A

Empirical probability
number of times an event occured/number of observations.

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13
Q

Law that states over a large number of trials, the empirical probability of an event will approach it’s true probability

A

Law of large numbers

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14
Q

The likelihood of a particular event happening that is assigned by an individual based on whatever information is available

A

Subjective concept of probability

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15
Q

The occurrence of one event means that none of the other events can occur at the same time.

A

Mutually exclusive

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16
Q

Rule that states that if A and B are mutually exclusive the probability of one or the other occurring equals the sum of their probabilities. State rule and formula

A

Special rule of addition
P of A or B = P of A + P of B

17
Q

When a list of outcomes is complete (shows all outcomes)

A

Collectively exhaustive

18
Q

Rule that state the odds of something happening plus the odds of it not happening must equal 1

A

Complement Rule

19
Q

A probability that measures the likelihood two or more events will happen concurrently

A

Joint probability

20
Q

What is the general of addition when including joint probability

A

P(A or B) = P(A) + P(B) - P(A and B)

21
Q

The occurrence of one event has no effect on the probability of the occurrence of another event

A

independence

22
Q

Rule that states if two independent events A and B, the probability that a and b will both occur is found by multiplying the two probabilities

A

Special rule of multiplication

23
Q

The probability of a particular event occurring, given that another event has occurred

A

Conditional probability

24
Q
A