Question

The probability that someone owns an iPhone is 62%. The probability that someone owns an Apple watch is 15%. The probability someone owns BOTH is 8%. What is the probability that someone owns an iPhone or an Apple Watch?

Answer 1

ANSWER

The probability that someone owns an iPhone or an Apple watch is

$P(I \cup \: A) = 69\%$

or

$P(I \cup \: A) = 0.69$


EXPLANATION

We were given that, the probability that someone owns an iPhone is

$P(I)=62\%$

and the probability that someone owns Apple watch is

$P(A)=15\%$


and the probability that someone owns both is


$P(I \cap \: A) = 8\%$
Since the intersection is not zero, it means the two events are not mutually exclusive.

The probability that someone owns an iPhone or Apple phone is

$P(I \cup \: A) = P(I) + P(A) - P(I \cap \: A)$


We substitute the values to get,


$P(I \cup \: A) = 62\% + 15\% - 8\%$

$P(I \cup \: A) = 69\%$