A study of the opinion of designers with respect to the primary color most desirable for us in executive offices showed that:
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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A. B. C. D. E.C
There are 400 opinions of which 92 prefer red. The other 308 do not prefer red. Therefore the probability of not preferring red is 308/400 = 0.77.
To determine the probability that a designer does not prefer red, we need to calculate the proportion of designers who do not prefer red out of the total number of designers surveyed.
According to the given data, the total number of opinions for each color is as follows:
Red: 92 Orange: 86 Yellow: 46 Green: 91 Blue: 37 Indigo: 46 Violet: 2
To find the number of designers who do not prefer red, we need to sum the number of opinions for all colors except red:
Orange + Yellow + Green + Blue + Indigo + Violet = 86 + 46 + 91 + 37 + 46 + 2 = 308
Now, we can calculate the probability that a designer does not prefer red by dividing the number of designers who do not prefer red by the total number of designers:
Probability = Number of designers who do not prefer red / Total number of designers = 308 / (92 + 86 + 46 + 91 + 37 + 46 + 2) = 308 / 400 = 0.77
Therefore, the probability that a designer does not prefer red is 0.77.
The correct answer is C. 0.77.