Let A and B be any two events defined on a sample space S. Which of the following sets are necessarily subsets of which other sets? A B ( A ∪ B ) ( A ∩ B ) ( A C ∩ B ) ( A ∩ B C ) ( A ∪ C B ) C C
Let A and B be any two events defined on a sample space S. Which of the following sets are necessarily subsets of which other sets? A B ( A ∪ B ) ( A ∩ B ) ( A C ∩ B ) ( A ∩ B C ) ( A ∪ C B ) C C
Solution Summary: The author analyzes the Venn diagrams to determine the sets that are necessarily subsets of other sets.
Let A and B be any two events defined on a sample space S. Which of the following sets are necessarily subsets of which other sets?
A
B
(
A
∪
B
)
(
A
∩
B
)
(
A
C
∩
B
)
(
A
∩
B
C
)
(
A
∪
C
B
)
C
C
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
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