How many white and black balls are there in a box?

A box contains 7 white and 5 black balls. A box contains 7 white and 5 black balls. If 3 balls are drawn simultaneously at random, what is the probability that they are not all of the same colour?

What are the different combinations of 4 balls and 2 boxes?

For example: for the case of 4 balls and 2 boxes, there are three different combinations: (1,3), (3,1), and (2,2). Could you help me to solve this, please? Please also let me know if there is any classical name for this problem. Let x 1, x 2, …, x k be the numbers of balls placed in box 1, 2, …, k, respectively.

How do you choose the box which gets 3 balls?

No. of ways to choose the box which gets 3 balls =3 (since 3 boxes are there). . No. of ways to distribute the rest of the balls =2. Secondly, where the distribution will be (1,2,2) that is, one box gets one ball and the remaining two boxes get two balls each. .

How many K Balls can be distributed into n boxes?

Here, we are counting the number of ways in which k balls can be distributed into n boxes under various conditions. 1. The balls are either distinct or identical. 2. The boxes are either distinct or identical. 3. No box can contain more than one ball or any box may contain more than one ball. 4. No box can be empty or any box can be empty.

How many red and white balls are in a bag?

A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is ( Selecting 1 out of 18 items) a red or white ball is picked.

What is the probability of getting three white balls in probability?

When balls are drawn with replacement, we again count the complementary outcomes, but the computation is different because the outcome of each draw is independent and identically distributed. In each of the three draws, the probability of obtaining a white ball is 7 / 12. So the probability of getting three white balls is

What determines the number of black balls drawn in blackjack?

Another way to reason about this is to note that when the number of draws is fixed–in this case, n = 3 draws–then the number of white balls drawn determines the number of black balls drawn. For instance, if you draw three balls with replacement, saying you got exactly two white balls is the same as saying you got exactly one black ball.