SOLUTION: The possibility space consists of the integers from 1 to 20 inclusive. A is the event ' the number is a multiple of 3'. B is the event 'the number is a multiple of 4'. An intege

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Question 1203249: The possibility space consists of the integers from 1 to 20 inclusive.
A is the event ' the number is a multiple of 3'.
B is the event 'the number is a multiple of 4'.
An integer is picked at random. Find (a) P(A), (b) P(B').
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
The possibility space consists of the integers from 1 to 20 inclusive.
That means the universal set U is all the integers from 1 through 20.
U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

A is the event ' the number is a multiple of 3'.
That means A is the set of integers of U you get by counting by 3's.
A = {3,6,9,12,15,18}

B is the event 'the number is a multiple of 4'.
That means B' is the set of integers of U you get by counting by 4's.
B = {4,8,12,16,20}
B' = set of elements of U that are not in B ={1,2,3,5,6,7,9,10,11,13,14,15,17,18,19}

%22P%28A%29%22%22%22=%22%22
%22P%28B%27%29%22%22%22=%22%22

Count those numbers of elements and make those fractions.  Reduce the fractions if
possible.

Edwin

Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.

                        Hello, for your education


In English, there is no such combination of words "the possibility space".

It is bad incorrect translation from other language; it is not used in English.

What you call here "the possibility space", has the correct name "space of events".


When you compose Math problems on your own,
check your terminology using GOOGLE translator.