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

Answer 2

The options that contemplate burger or fries individually are mutually exclusive. The probability that a randomly selected person from this sample bought a burger or bought fries is 25% (15 + 10).

Given that a restaurant noted what type of food its customers purchased last week, and the results were: burger 15%, fries 10%, both 55%, outside circles 20%, to determine if, in this sample, are the events "burger" and "fries" mutually exclusive, and find the probability that a randomly selected person from this sample bought a burger or bought fries, the following calculation must be performed:

• Since there is a joint option between burger and fries, the options that contemplate burger or fries individually are mutually exclusive.
• Thus, the probability that a randomly selected person from this sample bought a burger or bought fries is 25% (15 + 10).

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