Question

Let's say you have 13 marbles in a bag. Seven marbles are big, 6 are small. What is the probability of pulling out one big marble, replacing it, then pulling out a small marble?

Answer 1

7/26

Explanation:

First, find the probability of pulling out a big marble.

Since there are 7 big marbles, and 26 in total, the probability is 7/26

Now, find the probability of pulling out a small marble after the replacement.

There are 6 small marbles and 26 in total, so the probability is 6/26. This can be simplified by dividing each side by 2. This will get you 3/13

To find the probability of both of these happening, multiply the probabilities by each other:

(7/26) x (3/13)

= 7/26

So, the probability is 7/26