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 yellow?
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A. B. C. D. E.Explanation
There are 400 opinions. 46/400 prefer yellow. So 1 - 46/400 = 177/200 = 0.885 does not prefer yellow.
To calculate the probability that a designer does not prefer yellow, we need to consider the total number of opinions and the number of opinions that are not in favor of yellow.
According to the data provided, the total number of opinions is the sum of the opinions for each color:
Total opinions = 92 (red) + 86 (orange) + 46 (yellow) + 91 (green) + 37 (blue) + 46 (indigo) + 2 (violet) = 400
Now, let's calculate the number of opinions that are not in favor of yellow. This includes all the opinions for colors other than yellow:
Opinions not in favor of yellow = 92 (red) + 86 (orange) + 91 (green) + 37 (blue) + 46 (indigo) + 2 (violet) = 354
To calculate the probability, we divide the number of opinions not in favor of yellow by the total number of opinions:
Probability = Opinions not in favor of yellow / Total opinions = 354 / 400 = 0.885
Therefore, the probability that a designer does not prefer yellow is 0.885.
The correct answer is B. 0.885.