Hello Jayden, the question is not specific enough to write an answer, but here's what I can tell you form what you wrote.
If you have three black marbles, seven green marbles, thirteen purple marbles and 10 orange marbles, then the total number of marbles (3+7+13+10) is 33. Any one of the marbles in that pile will be 1 out of 33 or 1/33 (one- thirty-third).
If you take one marble out, then any marble you pick out of the new group will be 1 out of 32 or 1/32 (one- thirty-second).
While there still are 33 marbles in the group, if you're looking for the probability of picking out a marble of a certain color depends on what what color you're trying to figure out the probability of picking out.
For example, the probability of picking out a black marble is 3 out of 33, because there are 3 black marbles in the original group, if you're thinking of the probability of picking out a green marble, the probability of a green marble, then that is 7 out of 33 because there are 7 marbles in the original group.
If you want to find the probability of picking out a certain colored marble after you have already picked one out, then the probability changes, because now the total number of marbles you have is 32 instead of 33, and the probability of the color you could pick out can change depending on what marble you picked out first.
For example, if you want to know the probability of picking out an orange marble the second time, and you didn't pick out a orange marble the first time, then you still have 10 orange marbles, but now you have 32 total marbles, so the probability will be 10 out of 32 instead of 10 out of 33. But if you picked out 1 orange marble already, and you didn't put it back in, then you will have a probability of picking out 9 out of 32 because there are 9 orange marbles left.
In short: If you pick a marble out the first time and then put it back in the pile before your friend picks one out, then the probability of picking a marble of a certain color will be the same the second time as the first time because there will still be the same number of marbles with the same number of the same colored marbles as the first time, but if you don't put the marble back in, then the probabilities will change.
Also, if you want to find the probability of picking out a marble the second time, after picking out a marble the first time (and not putting it back in) or picking out a marble the second time after picking out one marble the first time, and then putting it back in will be different, depending on what you are tying to find or if you are trying to find. The probability of picking out a marble of a certain color the second time after picking a marble of a different color the first time and putting it back in or not will also depend on what the colored marble that you are trying to find the probability of picking out is.
That's all I can tell you right now based on the information you put here, but I can tell you more if oyu need more information.
Thank you.
