In a chess game a man plays 16 moves , one move to every piece in the following manner: King can move 1 step in every direction Queen can move in every direction Rook can move straight in any direction Bishop can move in slant squares Knight can move 2 forward then 1 turned step Every pawn moves 1 or 2 step forward What is the probability that after that move all the piece are arranged in third and fourth row if initially they are arranged in first and second row as the rule of game.
If two letters are randomly taken one after the other from the word AUGUST, what is the probability that none of the letters would be vowels?
A, B and C are all running in a race. Probability that A wins is twice of B's and probability that B wins is twice Cs. Find the probability of winning of A.
Three points are selected at random on a sphere's surface. What is the probability that they all lie in the same hemisphere? Assume that the great circle, bordering a hemisphere, is part of the hemisphere.
There are 20 white hats and 13 black hats in a box. Neeraj randomly took 3 hats ( in succession) out of the box and did not put them in the box. All three hats were black. What is the probability that the fourth hat that he takes out at random will also be black?
