A study of 400 interior designers' opinions with respect to the most desirable primary color for executive offices showed the following: Primary Color Number of Opinions Red 92 Orange 86 Yellow 46 Green 91 Blue 37 Indigo 46 Violet 2 What is the probability that a designer does NOT prefer red?

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JeanaShupp JeanaShupp · Answer 1 · 2019-08-12T16:53:17+02:00

Answer: 0.77

Step-by-step explanation:

Given : The number of interior designers = 400

The number of interior designers prefer red = 92

The number of interior designers do not prefer red = [tex]400-92=308[/tex]

Now, the probability that a designer does NOT prefer red is given by :-

[tex]\dfrac{\text{Number designers do not prefer red}}{\text{Total designers}}\\\\=\dfrac{308}{400}=0.77[/tex]

Hence, the probability that a designer does NOT prefer red = 0.77