You can justify if you write the probability equations.
Three marbles in a bucket.
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.
Well there s three yellow marbles.
Test marble run and adjust as needed.
Use your dremel to drill two small holes into the bucket and through the plastic funnel drop.
Whatever color marble you pull out put two marbles of that color back in.
I used the small pliers to pull the tie through the clasp and tighten it.
Once again without looking pull out a marble.
Because two of the three marbles are the same color the situation isn t 50 50 anymore.
So i could pick that yellow marble that yellow marble or that yellow marble that yellow marble.
The bucket is so large that two or three marbles drawn at random are independent of each other 30 of the marbles are blue.
There s two red marbles in the bag.
The bucket now contains four marbles.
You have the probability p1 for one bucket to take in the first attempt a white marble the same for a probability p2.
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.
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.
These are clearly all yellow.
Now there are three marbles in the bucket.
So i could pick that green marble or that green marble.
There is a very large bucket of marbles on a table.