The Universal Set, U, consists of the natural numbers from 20 to 60 incluive Define or describe in words the following three (3) sets: factors of 64, prime numbers, and multiples of 3.

Anonym 2021-08-09 Answered
The Universal Set, U, consists of the natural numbers from 20 to 60 incluive
a. Define or describe in words the following three (3) sets: factors of 64, prime numbers, and multiples of 3.
b. List the elements in each of your sets:
A={
B={
C={
c. Determine the probability of each of the following:
I.P(C)
II.P(AB)
III.P(ABC)
IV.P(BC)
V.P((AB)C)
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Expert Answer

escumantsu
Answered 2021-08-10 Author has 98 answers
Step 1: Given,
The universal set U, consist of the natural numbers from 20 to 60 inclusive. We have to answer the following...
Step 2: Explanation
Solution (a).
If we have 3 sets,
S1= factors of 64 i.e. 1,2,4,8,16,32,64
S2= prime numbers
S3= multiple of 3
Now describe the sets in words,
S1={x:x is a factor of 64 and 20x60}
S2={x:x is prime and 20x60}
S3={x:x is multiple of 3 and 20x60}
Solution (b).
List of the elements
S1={32}
S2={23,29,31,37,41,43,47,53,59}
S3={21,24,27,30,,57,60}
Solution (c).
Determine the probability
Since we have from the b part, S1S2={32,23,29,31,37,41,43,47,53,59}
S1S2S3=ϕ
I.P(S3)=1440=720
II.P(S1S2)=1040=14
III.P(S1S2S3)=040=0
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