quiz 4 Flashcards

1
Q

counting rule for permutations:

A

involves ordering or permutations

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2
Q

the number of ways to arrange an entire set of n distinct items is…

A

n!

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3
Q

sometimes the ordering or arrangements isn’t important, but only the objects that are chosen. In this case. you can use a counting rule for…

A

combinations

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4
Q

The # of combinations and the # of permutations are related

A

C(n,r)= P(n,r)/P(r,r)

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5
Q

The ___ of events A and B, denoted by A∪B , is the event that either A or B or___ occur

A

UNION, both

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6
Q

The _____ of events A and B, denoted by A∩B is the even that both A and B occur

A

INTERSECTION

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7
Q

The ______ of an event A, denoted by A^c, is the event that A ______ occur

A

COMPLEMENT, does not

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8
Q

probability rule for union

A

addition rule

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9
Q

Given 2 events, A and B, the probability of union, A∪B is equal to…

A

P(A∪B)= P(A)+P(B)-P(A∩B)

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10
Q

When two events, A and B, are mutually exclusive or_______, it means that when A occurs, B can’t, and vice versa

A

disjoint

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11
Q

simple events are…

A

mutually exclusive

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12
Q

A and A-comp are

A

mutually exclusive

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13
Q

when A and B are mutually exclusive then P(A∩B)= ____

A

zero, 0

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14
Q

when A and B are mutually exclusive then P(A∩B)=0
Addition rule simplifies to….

A

P(A∪B)= P(A)+P(B)

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15
Q

Rule for complements

A

P(A^C)= 1- P(A)

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16
Q

There is a rule that can be used to calculate the probability of the intersection of several events. This rule depends on the concept of _____ or _______

A

independent, dependent events

17
Q

2 events, A and B, are ________ if and ONLY if the probability of B _______ influenced or changed by the occurrence of event A and vice versa

A

independent, is NOT

17
Q

Are 2 simple events of the same experiment independent?

A

NO, if one happens the other can not happen

18
Q

Event A: observe a 2 on the first toss
Event B: observe a 2 on the second toss
Independent?????

A

YESSS, because the probability of event B is not changed by the occurrence of event A.

19
Q

0!=

A

1

20
Q

the union of A and its complement form …

A

the sample space

21
Q

probability table

A

probability table!