Probability Flashcards

1
Q

What does E mean usually?

A

Experiment

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2
Q

What is the outcome?

A

One of the possible results of a single trail of the experiment

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3
Q

What does S usually mean?

A

Sample space, the set of all possible outcomes

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4
Q

What is the event and how is it represented?

A

An event is one or more outcomes of an experiment and is indicated by a capital letter, e.g. A, B

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5
Q

What is probability?

A

The proportion of times that events happen

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6
Q

Where can a probability lie between?

A

0 ; 1 including them both

0≤ P (A) ≤ 1

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7
Q

How do we visually illustrate events and their probability?

A

Ven diagram

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8
Q

What does the rectangle of the oven diagram show?

A

All the outcomes of a sample space

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9
Q

What do the two circles of the venn diagram show?

A

The events

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10
Q

What can the area of the two circles be represented as?

A

A ∪ B

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11
Q

What can the area of the overlap of the two circles be represented as?

A

A ∩ B

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12
Q

What is the equation for the probability that event A or B will occur when they are not mutually exclusive?

A

P(A ∪ B)= P(A) + P(B) - P(A∩B)

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13
Q

How do you know if 2 events are independent from one another?

A

If the occurring of one does not affect the other

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14
Q

What is the equation of the probability of both events occurring when they are independent?

A

P(A∩B) = P(A) × P(B)

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15
Q

What is the complement of event A and what is its symbol?

A

This is the set of outcomes and lie within the sample space, and are not included in the outcomes of the event A

Ā

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16
Q

What is the complementary rule of event A?

A

Given P(A) the probability of its complement P(Ā) can be found by subtracting the given probability from 1

17
Q

What is the equation for the complementary rule of event A?

A

P (Ā ) = 1 – P(A) = ?

18
Q

What is the equation for mutually exclusive events? A∩B=0

A

P(A ∪ B)= P(A) + P(B)

19
Q

What is a mutually exclusive event?

A

Two events that cannot happen together