PROBLEM 2: SET OPERATIONS AND PROBABILITIES (3 points possible)

Question

Find the value of P(A∪(Bc∪Cc)c) for each of the following cases:

The events A, B, C are disjoint events and P(A)=2/5.

P(A∪(Bc∪Cc)c)= incorrect
The events A and C are disjoint, and P(A)=1/2 and P(B∩C)=1/4.

P(A∪(Bc∪Cc)c)= incorrect
P(Ac∩(Bc∪Cc))=0.7.

P(A∪(Bc∪Cc)c)= incorrect

Answer 1

0.4

0.75

0.3

Answer 2

The events A, B, C are disjoint events and P(A)=2/5.

P(A∪(Bc∪Cc)c)= 0.4
P(A∪(Bc∪Cc)c) = 0.75
P(A∪(Bc∪Cc)c) =0.3