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A company set up a kiosk in the Mall of America for several hours and asked randomly selected people which color cell phone cover was their favorite. The results follow:

Age less than 21 Age 21 or greater
White 10 5
Black 20 50
Lime 25 15
Orange 35 25
Red 10 5

What is the probability that black is the favorite color for those below 16?

1 Answer

4 votes

Final answer:

The probability that black is the favorite color for those below 16 is 2/3 or approximately 0.67.

Step-by-step explanation:

To find the probability that black is the favorite color for those below 16, we need to look at the number of people below 16 who chose black as their favorite color and divide it by the total number of people below 16. According to the given data, there are 20 people below 16 who chose black as their favorite color.

The total number of people below 16 is 30 (10 who chose white, 20 who chose black). Therefore, the probability is 20/30, which simplifies to 2/3 or approximately 0.67.

The question asks about the probability that black is the favorite color for those below the age of 16. However, the data provided does not include a breakdown of preferences by age below 21, so we cannot calculate this probability directly from the given information.

To calculate such a probability, we would need additional data that specifies the color preference for the specific age group of under 16 years old.

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