An experiment consists of tossing a single die and observing the
number of dots that show on the upper face. Events A, B, C are
defined as follows:
A: Observe a number less than 4
B: Observe a number less than or equal to 2.
C: Observe a number greater than 3.
Find P(B)
Find P(B union C)
Find P((A union B) intersect C)
Find P(A intersect B)
Find P(A union C)
P(B) = P(number less than or equal to 2)
= P(1 or 2)
= 2/6
= 0.3333
P(B U C) = P(number is less than or equal to 2 or greater than 3)
= P(1,2,4,5 or 6)
= 5/6
= 0.8333
P(A U B) C) = P(1,2 or 3)
P(5,6)
= 0
P(A B) = P(Number is
less than 4 and less than or equal to 2)
= P(1,2)
= 2/6
= 1/3
P(A U C) = P(number is less than 4 or greater than 3)
= P(1,2,3,4,5 or 6)
= 6/6
= 1
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