Use the sample space S defined below. S = [E1, E2, E3, E4, E5, E6, E7, E8, E9, E
ID: 3268863 • Letter: U
Question
Use the sample space S defined below.
S = [E1, E2, E3, E4, E5, E6, E7, E8, E9, E10]
Given A = [E2, E6, E7, E9] and B = [E2, E5, E6, E10]
What is the intersection of A and B?
What is the union of A and B?
Is the union of A and B collectively exhaustive?
a. What is the intersection of A and B, AB? (which one of the following correct)
o [E2, E5, E6, E7, E9, E10]
o [E1, E3, E4, E8] o [E2, E6]
o [E5, E7, E9, E10]
b. What is the union of A and B, AB? (which one of the following is correct)
o [E1, E2, E3, E4, E5, E6, E7, E8, E9, E10]
o [E2, E5, E6, E7, E9, E10]
o [E1, E3, E4, E8]
o [E2, E6]
c. Is the union of A and B collectively exhaustive? (which one of the following is correct)
o Yes
o No
Explanation / Answer
a)
intersection of A and B
= [ E2,E6 ]
common elements of both sets
b)
AUB = [ E2,E5,E6,E7,E9,E10 ]
all the elements of A and B
c)
No, AUB is not equal to S , it not exhaustive
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