Answer:
Option: A is the correct answer.
Step-by-step explanation:
A company manufactures 70% touch screen phones.
55% have HD capability.
and 30% have both touch screen and HD capability.
Let A denote the touch screen phones.
B denote the HD capability.
C denote the both touch and HD capability.
Now we are asked to find the probability that a smartphone chosen at random has either a touch screen or HD movie capability:
i.e.. we have to find P(A∪B)
we know that:
P(A∪B)=P(A)+P(B)-P(A∩B)
Hence,
Hence, option: A is correct.