Question

You have a bag of 12 blue marbles and 12 red marbles. each are labeled 1-12. so you have 24 marbles in total (1-12 for each color).

you draw one at random, put it back in the bag, and draw the second one.

what is the probability that the first marble is blue and the second marble is a 12?

Answer 1

Probability that the first marble is blue: 1/2 or 50%

Probably that the second is a 12: 1/12 or 8.3%

Explanation:

There's 24 marbles in total with 12 of those being blue. So if you pull out a marble, there's a 12/24 chance of it being blue, which is reduced down to 1/2

Both the red and blue marbles are labeled 1-12, meaning there are two marbles labeled 12. So if you pull out a marble, there's a 2/24 chance that it'll be a 12, which is reduced down to 1/12. Remember that the first marble drawn is put back into the bag, so the second marble's probabilty isn't going to be 2/23

Hope this helps!