Question

You have 10 businesses that you are researching. 4 businesses only have an online shop option, 2 businesses are strictly store front and 4 businesses offer both an online shop and store front option. Given Events A and B, are the two events mutually exclusive

Answer 1

(C)No, the events are not mutually exclusive because they share the common outcome, of having both a storefront and a website

What are 2 mutually exclusive events?

Mutually exclusive events are things that can't happen at the same time. For example, you can't run backwards and forwards at the same time. The events “running forward” and “running backwards” are mutually exclusive. Tossing a coin can also give you this type of event.

If A and B are independent P(A∩ B)= P(A) P(B).

Now P(A∩ B) = 4/10

     =2/5

P(A) P(B) = 4/10 ×2/10 = 8/100 = 2/25

Therefore A and B are not independent

Since they are not equal they are not mutually exclusive

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