Question

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)

Answer 1

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