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What is the probability that all the dominos

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Reference no: EM132441028

Problem: We tile a 2 x 9 board with 9 dominos of size 2 x 1 so that each square is covered by exactly one domino. Dominos can be placed horizontally or vertically. Suppose that we choose a tiling randomly so that each possible tiling is equally likely.

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Question 1: What is the probability that all the dominos are placed vertically?

Question 2: Find the probability that there is a vertical domino in the middle of the board (at the 5th position).

Reference no: EM132441028

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