Three Marbles In A Bucket

Test marble run and adjust as needed.

Three marbles in a bucket.

These are clearly all yellow. So i could pick that yellow marble that yellow marble or that yellow marble that yellow marble. Suppose i pick two marbles at random from the bucket what is the probability that both marbles are blue. There s two green marbles in the bag.

What i am looking for is the probability that i should assign to each of the three marbles so that i get to choose one uniformly at random 1 n. We assume marbles are equally to be taken and the total amount is the same in the two buckets where the total is 2m where m is the number of total white marbles and the same quantity for black marbles and m is too the. There is a very large bucket of marbles on a table. Once again without looking pull out a marble.

You can justify if you write the probability equations. The bucket now contains four marbles. Use your dremel to drill two small holes into the bucket and through the plastic funnel drop. Well there s three yellow marbles.

Whatever color marble you pull out put two marbles of that color back in. Now there are three marbles in the bucket. The bucket is so large that two or three marbles drawn at random are independent of each other 30 of the marbles are blue. You have the probability p1 for one bucket to take in the first attempt a white marble the same for a probability p2.

So i could pick that green marble or that green marble. There s two red marbles in the bag. Each bucket has k l m marbles respectively k l m n i will pick one marble from each of the three buckets with probability 1 k 1 l 1 m respectively and i ll put them into a another bucket. Because two of the three marbles are the same color the situation isn t 50 50 anymore.

Thread cable tie from inside of the bucket through both holes in the plastic piece and back through the bucket.