32 Olivia is contemplating buying a laser printer The probab

32. Olivia is contemplating buying a laser printer. The probability that she will buy a printer manufactured by Epson, Brother, Canon, and Hewlett - Packard is .23, .18, .31, and .28 respectively. Find the probability that she will buy a laser printer manufactured by:

a) Epson or Canon. b) Espon, Brother, or Canon.

Solution

Epson=E
Canon=C
Brother=B
P(B)=0.18
P(C)=0.31
P(E)=0.23

a) P(E or C) = P(E) +P(C) -P(E and C) = 0.23 + 0.31 -0= 0.54

b) P(E or B or C)= P(E or B) + P(C) - P((E or B) and C)
                              = P(E) +P(B)+P(C) -P(E and B) - P(E or B or C)
                              =0.23+0.18 + 0.31
                              =0.72