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CheckMate The Opponent in 2 Moves!

Can White checkmate Black in two moves from this position?

CheckMate The Opponent in 2 Moves!


Here are those 2 moves! 

2 Moves to CheckMate the Opponent


Where the game stands?


1.Move Rook to b3 i.e. perform Rb3.

2 Moves to CheckMate the Opponent




2.That will force opponent to move king to a5 i.e. execute Ka5.

2 Moves to CheckMate the Opponent



3. Finally,now move Rook to a3 (Ra3) and Checkmate the opponent.


2 Moves to CheckMate the Opponent

Case of 3 Identical Notebooks

Three people all set down their identical notebooks on a table. On the way out, they each randomly pick up one of the notebooks. What is the probability that none of the three people pick up the notebook that they started with?

Case of 3 Identical Notebooks



That's correct probability!

Probability in Case of 3 Identical Notebooks


What was the case?

Let's name peoples as Person - 1, Person - 2, Person - 3 and their notebooks as Notebook - 1, Notebook - 2 and Notebook 3 respectively.

Now there can be 6 ways 3 notebooks can be distributed among 3 persons like below.

Probability in Case of 3 Identical Notebooks


(Here, for convenience, 3 different colors are assigned to the notebooks of 3 persons.)

As we can see, there are only 2 cases, where the each of person not getting own notebook. In rest of cases, at least 1 person got own notebook & notebooks of others are shuffled between 2.

So the probability that none of the three people pick up the notebook that they started with is 2/6 = 1/3
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