Find the probability that the chess piece happens to be at vertex B? There is a chess piece at vertex a of positive tetrahedron ABCD. It is equally possible for it to move from one vertex to the other three vertices. Now we roll the dice and decide whether the chess piece will move according to the number of dice. If the number of dice is 1 or 2, the chess piece will not move. If the number of dice is 3 or 4, the chess piece will move once. If the number of dice is 5 or 6, the chess piece will move twice. Now we roll the chess piece twice, what is the probability that the chess piece will just be at vertex B?

Find the probability that the chess piece happens to be at vertex B? There is a chess piece at vertex a of positive tetrahedron ABCD. It is equally possible for it to move from one vertex to the other three vertices. Now we roll the dice and decide whether the chess piece will move according to the number of dice. If the number of dice is 1 or 2, the chess piece will not move. If the number of dice is 3 or 4, the chess piece will move once. If the number of dice is 5 or 6, the chess piece will move twice. Now we roll the chess piece twice, what is the probability that the chess piece will just be at vertex B?

The probability of one dice toss and one chessman immobility is 1 / 3, the probability of one chessman move is 1 / 3, the probability of two chessmen move is 1 / 3, the probability of two dice toss and two chessmen immobility is 1 / 9, the probability of one chessmen move is 2 / 9, the probability of two chessmen move is 3 / 9, the probability of three chessmen move is 2 / 9, the probability of four chessmen move is 1 / 9