new quiz 4 Flashcards
counting rule for permutations:
involves ordering or permutations
the number of ways to arrange an entire set of n distinct items is…
n!
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…
combinations
The # of combinations and the # of permutations are related
C(n,r)= P(n,r)/P(r,r)
The ___ of events A and B, denoted by A∪B , is the event that either A or B or___ occur
UNION, both
The _____ of events A and B, denoted by A∩B is the even that both A and B occur
INTERSECTION
The ______ of an event A, denoted by A^c, is the event that A ______ occur
COMPLEMENT, does not
probability rule for union
addition rule
Given 2 events, A and B, the probability of union, A∪B is equal to…
P(A∪B)= P(A)+P(B)-P(A∩B)
When two events, A and B, are mutually exclusive or_______, it means that when A occurs, B can’t, and vice versa
disjoint
simple events are…
mutually exclusive
A and A-comp are
mutually exclusive
when A and B are mutually exclusive then P(A∩B)= ____
zero, 0
when A and B are mutually exclusive then P(A∩B)=0
Addition rule simplifies to….
P(A∪B)= P(A)+P(B)
Rule for complements
P(A^C)= 1- P(A)
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 _______
independent, dependent events
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
independent, is NOT
Are 2 simple events of the same experiment independent?
NO, if one happens the other can not happen
Event A: observe a 2 on the first toss
Event B: observe a 2 on the second toss
Independent?????
YESSS, because the probability of event B is not changed by the occurrence of event A.
0!=
1
the union of A and its complement form …
the sample space
probability table
probability table!
