The following marbles are placed into a bag: 2 black, 3 blue, and 1 orange. What
is the probability that you draw a black marble? (WRITE YOUR ANSWER AS A
SIMPLIFIED FRACTION EX: )

The total number of marbles in the bag is 2 (black) + 3 (blue) + 1 (orange) = 6 marbles. To find the probability of drawing a black marble, you use the formula:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

So, the probability of drawing a black marble is , which simplifies to .

Here’s a fun fact: Understanding probability can help in everyday decisions, from choosing the right game to play to figuring out your chances at winning a draw! And it uses some of the same principles that gamblers and statisticians rely on. Knowing these can make you a savvy player in both life and games!

On a practical note, in experiments like drawing marbles, it’s crucial to grasp the concept of replacement. If you put the marbles back into the bag after each draw, the probabilities resume their original values. This dynamic can drastically change the outcome in a series of draws!