A bag contains 6 purple, 4 yellow, and 10 green marbles. What is the probability of drawing a purple or a green marble?

Official Answer

Certainly, as a Data Scientist, my approach to solving probability questions is grounded in both theoretical knowledge and practical experience. Let's delve into the problem you presented.

"Given a bag containing 6 purple, 4 yellow, and 10 green marbles, we are asked to find the probability of drawing a purple or a green marble."

First, let's break down the problem into manageable parts. The total number of marbles in the bag is the sum of purple, yellow, and green marbles, which gives us 6 + 4 + 10 = 20 marbles. Now, to address the question effectively, we need to understand that the probability of an event is the ratio of the favorable outcomes to the total outcomes.

In our scenario, the favorable outcomes are drawing either a purple or a green marble. Therefore, we add the number of purple marbles (6) to the number of green marbles (10), which gives us 16 favorable outcomes.

"Thus, the probability of drawing a purple or a green marble can be calculated as the number of favorable outcomes over the total number of outcomes, which is 16/20."

However, in the spirit of clarity and precision, it's always best to simplify our fraction. Dividing both the numerator and the denominator by their greatest common divisor, 4, we get 4/5.

So, from a Data Scientist's perspective, the answer to the question is:

"The probability of drawing a purple or a green marble from the bag is 4/5 or 80%."

This approach not only showcases the methodical application of probability theory but also reflects a Data Scientist's knack for breaking down complex problems into simpler, more manageable parts. It's an illustration of how we leverage our analytical skills to derive insights from data, be it in a straightforward scenario like this or more complex data-driven projects. This methodical approach, combined with a clear and concise communication style, is crucial in our role, especially when collaborating with cross-functional teams or presenting findings to stakeholders.