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

After winning the challenge fair and square, and winning a Snorlax, Max finally reaches Viridian City. As he enters viridian city, he notices that there is a Pokémon trainer in front of the gym. I will only let you pass if you beat me in my favourite game, he says. This is a game played with a sequence of tiles, each labelled with two numbers. You start at the first the in the sequence and choose one number from each tile that you stop at, according to the following rules: • At tile i, if you pick up the smaller number, you move on to the next tile, i+1, in the sequence. • At tile i, if you pick up the larger number, you skip the next tile and move to tile i+2 in the sequence. The game ends when your next move takes you beyond the end of the sequence. Your score is the sum of all the numbers you have picked up. For example, suppose you have a sequence of four tiles as follows: Then the maximum score you can achieve is 3, by choosing the numbers that are circled. Now, you are given the following tiles. What is the maximum score you can make to ensure you beat the security guard?

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

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