In a shipment of 71 vials, only 13 do not have hairline cracks. If you randomly
ID: 3171535 • Letter: I
Question
In a shipment of 71 vials, only 13 do not have hairline cracks. If you randomly select 2 vials from the shipment, in how many ways can at least one of the 2 selected vials have a hairline crack if the order of selection does not matter?
a) 342930
b) 21489
c) 2407
d) 1653
e) 4524
f) None of the above
The union of two events A and B is the event that:
a) Either A or B or both occur.
b) Both A and B occur.
c) The intersection of A and B does not occur.
d) Either A or B, but not both occur.
e) A and B occur at the same time.
f) None of the above
Explanation / Answer
Solution1:
71 vials, only 13 do not have hairline cracks.
vilas which have hariline cracks are
=71-13=58
Selecting two vials out of 58 is
58C2
=58*57/2*1
=1653
AnswerD
Solution2:
Union means
a) Either A or B or both occur.
Definituion:
The union of sets 'A' and 'B' is the set containing the unique elements found in either set 'A' or set 'B', or both. In other words, “Bring all the elements together but discard duplicates”
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