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Welcome to the article Amanda has three different colored pens in her book bag blue green and purple The probability of randomly choosing a blue pen from Amanda s. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!

Amanda has three different colored pens in her book bag: blue, green, and purple.

- The probability of randomly choosing a blue pen from Amanda's book bag is 40%.
- The probability of randomly choosing a green pen from Amanda's book bag is 10%.

What is the probability of Amanda randomly choosing a purple pen from her book bag?

Answer :

Final answer:

The probability of Amanda randomly choosing a purple pen from her book bag is 50%, calculated by subtracting the given probabilities for blue and green pens from 100%.

Explanation:

The question asks us to find the probability of Amanda randomly choosing a purple pen from her book bag, given that the probability of choosing a blue pen is 40% and the probability of choosing a green pen is 10%. In probability theory, all possible outcomes in a sample space must add up to 100%. Since we already have the probabilities for blue and green pens, we can calculate the probability of choosing a purple pen by subtracting the probabilities of the other two pens from 100%.

To calculate, we use the following steps:

  1. Add the probabilities of choosing a blue pen and a green pen: 40% + 10% = 50%.
  2. Since the total probability must equal 100%, subtract the sum obtained in step 1 from 100% to find the probability of choosing a purple pen: 100% - 50% = 50%.

Therefore, the probability of Amanda choosing a purple pen from her book bag is 50%.

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Rewritten by : Brahmana