Chapter 4 Flashcards

1
Q

Probability

A

Success / Total possible outcomes

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2
Q

Event

A

Any collection of results or outcomes of a procedure (birth 2f 1m)

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3
Q

Simple Event

A

An outcome or an event that can’t be further broken down (birth fmm, mff…)

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4
Q

Sample space

A

All possible simple events; all outcomes that can’t be broken down further.

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5
Q

P(A)

A

Probability A WILL occur

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6
Q

P(Ā)

A

Probability A WILL NOT occur

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7
Q

Relative frequency approximation of probability

A

P(A)= # times A occurred/ # times the procedure was repeated

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8
Q

Classical Probability

A

n different simple events with equal chance of occurring, the event A can occur in s of these n ways. s/n Exact problems

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9
Q

When to use relative vs classical probability

A

Classical approach requires equal likely outcomes. If no, use relative.

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10
Q

Odds in favor of A

A

P(A) / P(Ā) a fraction divided by a fraction b:a

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11
Q

Odds against A

A

P(Ā) / P(A) a fraction divided by a fraction a:b

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12
Q

P(A)+P(Ā)=?

A

1

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13
Q

P(A) impossible =?

A

0

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14
Q

P(A) certain =?

A

1

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15
Q

The complement of A?

A

Ā

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16
Q

Addition rule

A

P(A or B)= [P(A)+P(B)-P(A&B)]/total # outcomes

17
Q

Compound event

A

Two or more simple events

18
Q

P (AUB)

A

P A or B

19
Q

P(AΠB)

A

P A and B

20
Q

Multiplication rule for without replacement

A

P(A) & P(B)=P(A)*P(AlB)

21
Q

P(BlA)

A

P B will happen given A already happened.

22
Q

P(AlB)

A

P A will happen given B already happened

23
Q

Multiplication rule: tx dependent as independent

A

If sample size is < or equal to 5% of the population

(P of A)^#trials

24
Q

Multiplication rule for independent events (with replacement)

A

P(A&B)=P(A)*P(B)

25
Q

Probability of at least one

A

P(at least one)=1-P(none)

At most none!

26
Q

Conditional probability

A

P of some event when some other event has already occurred

27
Q

Conditional probability equation

A

P(BlA)= P(A&B)/P(A) <-given

28
Q

Conditional probability shortcut

A

smaller#/bigger# *works only when denominator is same

29
Q

Opposite of none is

A

At least one

30
Q

Fundamental counting

A

event A can happen n # of ways and so forth

31
Q

Factorial (!)

A

n! denotes # possible arrangements

32
Q

Permutation Rule

A

nPr=n!/(n-r)! ORDER MATTERS
n=#items r=#selected (s replacement)
(permutation, arrangement, sequence)

33
Q

Combination Rule

A

nCr=n!/r!(n-r)! ORDER DOESN’T MATTER

34
Q

Permutation with identical items rule

A

n!/n1!n2!n3!…