A study of the opinion of designers with respect to the primary color most desirable for use 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 blue?
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A. B. C. D. E.B
P(Blue) = 37/400. P(not blue) = 1 - 37/400 = 0.9075.
To determine the probability that a designer does not prefer blue, we need to calculate the proportion of designers who do not prefer blue out of the total number of designers surveyed.
According to the given data, the number of designers who prefer blue is 37. To find the number of designers who do not prefer blue, we need to subtract this number from the total number of designers surveyed. The total number of designers surveyed is the sum of the number of opinions for each primary color:
Total number of designers surveyed = 92 (red) + 86 (orange) + 46 (yellow) + 91 (green) + 37 (blue) + 46 (indigo) + 2 (violet) = 400
Now, we can calculate the probability that a designer does not prefer blue by dividing the number of designers who do not prefer blue by the total number of designers surveyed:
Probability of not preferring blue = (400 - 37) / 400 = 363 / 400 = 0.9075
Therefore, the probability that a designer does not prefer blue is 0.9075.
The correct answer is B. 0.9075.