Blue & Red Probability

Draw a picture to better understand the following question: There are 6 blue marbles, 3 red marbles, and 5 yellow marbles in a bag. What is the probability of selecting a blue or red marble on the first draw?

To understand this problem better, let's visualize it with a simple drawing. Imagine a bag containing different colored marbles. We'll represent each marble with a circle, color-coded for their respective colors.

Here's a basic sketch:

• Blue Marbles (6): 🔵🔵🔵🔵🔵🔵
• Red Marbles (3): 🔴🔴🔴
• Yellow Marbles (5): 🟡🟡🟡🟡🟡

This collection represents all the marbles in the bag. To find the probability of selecting a blue or red marble, we need to consider the total number of favorable outcomes (blue or red marbles) over the total number of possible outcomes (all marbles).

Now, based on this visualization, can you calculate the total number of marbles and the number of marbles that are either blue or red? This will help you determine the probability.

There are 14 marble. 9 are either blue or red. I guess 9/14?

That's correct! You've done a great job identifying the total number of marbles and the number of marbles that are either blue or red.

To recap:

• Total number of marbles: (6 + 3 + 5 = 14)
• Number of blue or red marbles: (6 + 3 = 9)

The probability of drawing a blue or red marble is indeed the number of favorable outcomes (blue or red marbles) divided by the total number of possible outcomes (all marbles). So, the probability is (\frac{9}{14}).

Well done on figuring that out! Would you like to tackle another question or explore a different concept in probability?