Black to move and checkmate in 1 | King Hunt chess puzzle game #Shorts

Black Widow and Hawkeye decide to have a pizza and call the pizza house to order. The pizza house is at the apartment number C2 and the Stark Tower is at H8 as shown in the figure. The pizza delivery boy is on the call with Black Widow and Hawkeye who are helping him to get to the tower. Both of them give instructions to the delivery boy alternatively (turn- wise), with each instruction being to cross some number of apartments horizontally, vertically or diagonally. Whoever gives the final instruction to the delivery person to reach the tower wins. If Black Widow gets the chance to give the first instruction, find out how many different first move choices does she have to win the game. [Note: Two squares are neighbours if they have a common boundary.]

A chess game between two grandmasters X and Y is won by whoever first wins a total of two games. X's chances of winning or loosing any perticular game are a, b and c, respectively. The games are independent and a+b+c=1. The probability that Y wins the match after the 4th game, is

A chess game between two grandmasters X and Y is won by whoever first wins a total of two games. X's chances of winning or loosing any perticular game are a, b and c, respectively. The games are independent and a+b+c=1. The probability that X wins the match, is

Out of 50 students of a class 25 play chess,35 play Carroms.Use Venn diagrams to answer the following: (1) How many students play both the games? (ii) How many students play only Chess?

According to the other problem, 2500 king pieces of chess have to be placed on a 100xx100 chessboard so that 1. No king can capture any other one (i.e. no two kings are placed in two squares sharing a common vertex 2. Each row and each column contains exactly 25 kings Find the number of such arrangements. (Two arrangements differing by rotation or symmetry are supposed to be different.)

On the normal chess board as shown, I_1, & I_2, are two insects whichstarts moving towards each other. Each insect moving with thesame constant speed. Insect I_1, can move only to the right or upwardalong the lines while the insect I_2, can move only to the left or downwardalong the lines of the chess board. Find the total number of ways thetwo insects can meet at same point during their trip.

In an industry a 300 kg crate is dropped vertically from a packing mechine onto a conveyor belt moving at 1.2 m//s The coefficient of kinetic friction between belt and crate is 0.4 After a short time, slipping between the belt and the crate ceases and the crate then moves along with the crate ceases and the crate then moves along with the belt . For the period of time during which the crate is being brought to rest relative to the belt, calculate, for a reference frame (a) the kinetic energy supplied to the crate (b) the magnitude of the kinetic frictional force acting on the crate, the magnitude of energy supplied by the motion (c) Why are the answers to (a) and (c) different

It a new chess game is invented which has 9 x 9 grid, tiled by 81 squares of size 1 xx 1, in chess board pattern, instead of 8 x 8 and rule is that in a single step the king can only move along horizontal orver tical to the adjacent tile. If king is at the center tile of this grid then find total number of shortest path she can take to reach at any corner of chess board ?