Three Marbles In A Bucket

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.

Three marbles in a bucket.

There s two red marbles in the bag. The bucket is so large that two or three marbles drawn at random are independent of each other 30 of the marbles are blue. So i could pick that green marble or that green marble. Use your dremel to drill two small holes into the bucket and through the plastic funnel drop.

There is a very large bucket of marbles on a table. Thread cable tie from inside of the bucket through both holes in the plastic piece and back through the bucket. So i could pick that red marble or that red marble. Test marble run and adjust as needed.

Well there s three yellow marbles. The bucket now contains four marbles. Because two of the three marbles are the same color the situation isn t 50 50 anymore. Once again without looking pull out a marble.

So i could pick that yellow marble that yellow marble or that yellow marble that yellow marble. Whatever color marble you pull out put two marbles of that color back in. You have the probability p1 for one bucket to take in the first attempt a white marble the same for a probability p2. These are clearly all yellow.

You can justify if you write the probability equations. 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. Suppose i pick two marbles at random from the bucket what is the probability that both marbles are blue. I used the small pliers to pull the tie through the clasp and tighten it.

Record how many whites and how many blacks you have.