For a marketing analysis,you want to ask 125 people how

Josalynn 2021-10-04
For a marketing analysis,you want to ask 125 people how they
like the colours red,green and blue.After your questions,your
questions,you discover that.
55 people like red.
60 people like blue.
50 people like green.

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Answered 2021-10-11 Author has 1944 answers

Solution:

Total number of people=125

Let A be the event that people like red colours

\(n(A)=55\)

B be the event that people like blue colours
\(n(B)=60\)
C be the event that people like green colours

\(n(C)=50\)

Let \(A \bigcap B\) be the event that people like both red and blue colors

\(n(A \bigcap B)=25\)

Let \(A \bigcap C\) be the event that people like both red and green colors

\(n(A \bigcap C) =20\)

Let \(B \bigcap C\) be the event that people like both blue and green colors

\(n(B \bigcap C)=30\)

Let \(A \bigcap B \bigcap C\) be the event that people like all three colors

\(n(A \bigcap B \bigcap C)=15\)

To find the probability that the randomly selected person likes only the green colors
P(Green colors)=\(\frac{Number\ of\ people\ like\ green\ colors}{Total\ number\ of\ people}\)

P(Green Colours=\(\frac{50}{125}=0.4\)

P(Green Colors)=0.4

The probability that the randomly selected person likes only the green colors is 0.4

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