Question

If there are 9 white balls and 7 black balls in a bag .You have to take out balls one by one from the bag.Then in how many attempts you wilk get a matched pair

Answer 1

Answer:

Let's say you have two boxes labelled white and black balls in front of you. Regardless of what ball you are taking out of the bag, the generalised pigeonhole principle applies:

If there are mn+1 objects and n slots that you can put them into, then there will be at least m+1 objects in some holes. Putting into this context:

We want at least 2 objects in one of the boxes (slots). Therefore, m+1=2; m=1.

Since there are only two boxes, n=2

∴There are mn+1 objects= (1)(2)+1=3 objects, hence 3 attempts need to be made.

Hope this helps :)

Step-by-step explanation: