Pregunta
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Question 4 (Multiple Choice Worth 2 points)
(05.04 LC)
In a group of 1,200 people, 468 have brown eyes, 252 have blue eyes, 132 have green eyes, and 348 have black eyes. What is the probability that a person chosen at random from this group has blue eyes?
P (blue)
P (blue)
P (blue)
P (blue)

Ask by Smith Fernandez. in the United States
Mar 25,2025

Solución de inteligencia artificial de Upstudy

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The probability that a person chosen at random has blue eyes is 21%.

Solución

To find the probability that a person chosen at random from the group has blue eyes, we can use the formula for probability:
From the problem, we know:
  • Number of people with blue eyes = 252
  • Total number of people = 1200
Now, we can calculate the probability:
Let’s simplify this fraction to find the probability.
Calculate the value by following steps:
  • step0: Calculate:
  • step1: Reduce the fraction:

    The probability can be expressed as:
To convert this to a percentage, we multiply by 100:
Thus, the correct answer is:
P (blue) = 21%.

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Mind Expander

To find the probability of selecting someone with blue eyes from this group, we divvy up the brown-eyed brigade from the total crowd. With 252 blue-eyed folks in the mix and a total of 1,200 people, we calculate the probability as follows: , which simplifies to 0.21 or 21%. So, cheers to our spectacles-wearing friends, the correct answer is !
Now that we’ve sorted out the probabilities, let’s take a quick peek at how this sort of calculation might show up in real life. Imagine you’re a shopkeeper looking to stock a set of sunglasses. By knowing the eye color distribution among your customers, you could tailor your inventory to better meet their style needs. Plus, using statistical analysis could boost sales while also impressing your customers with your knack for predicting trends!

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