Question

A restaurant noted what type of food its customers purchased last week. Here are the results: burger 15% fries 10 % both 55% outside circles 20%
In this sample, are the events "burger" and "fries" mutually exclusive
Find the probability that a randomly selected person from this sample bought a burger OR bought fries.

Answer 1

Answer:

(a) Not mutually exclusive

(b)80%

Step-by-step explanation:

Mutually Exclusive events are events which cannot occur at the same time. An example is walking forward and backward. When events are presented using Venn diagram, if the sets are disjoint, they are mutually exclusive, otherwise they are not.

(a)The given events "burger" and "fries" are not mutually exclusive since their intersection is not empty as can be seen from the attached Venn diagram.

(b) Probability that a randomly selected person from this sample bought a burger OR bought fries.

P(A or B)=$P(A\cup B)=80\%$