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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%.

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

Part B: What is the probability that Amanda will draw a black pen?

Answer :

Final answer:

The probability of Amanda randomly choosing a purple pen from her book bag is 50%. Since there are no black pens in Amanda's book bag, the probability of drawing a black pen is 0%.

Explanation:

The question deals with basic probability concepts. If Amanda's book bag contains pens of just three colors and the probabilities of selecting a blue pen and a green pen are 40% and 10%, respectively, then the probability of choosing a purple pen must be the remaining percentage. Since the total probability for any event must equal 100%, we calculate the probability for the purple pen as:

100% - Probability(Blue) - Probability(Green) = 100% - 40% - 10% = 50%

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

For Part B, since Amanda's book bag only contains blue, green, and purple pens, the probability of drawing a black pen is 0%. It is not possible to draw a pen color that is not already in the book bag.

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Rewritten by : Brahmana