Question

What is the probability that a randomly chosen bow tie is designed with swirls or is made of velvet?

Answer 1

• Let's call A the event of a bow tie designed with swirls (P(A)=0.3).

,

• Let's call B the event of a bow made of velvet (P(B)=0.1).

It is important to know that the events are mutually exclusive because bows can be made of two different materials at the same time. which means there's no intersection between A and B. So, the probability is

`P(A\cup B)=P(A)+P(B)=0.3+0.1=0.4`Hence, the probability is 0.4.