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A frog is sitting exactly in the middle of a board that is five feet long.

Every ten seconds he jumps one foot either left or right, at random. You want to use simulation to estimate the probability that he jumps off the board in sixty seconds or less. (For example, if he jumps LLRLRL, he is still on the board, on the left-most square. If he jumps LLRLL, he has jumped off the board in fifty seconds.)

(a) Describe how you would use the digits of a random number table to simulate this chance process and estimate the probability.

(b) Use the random number table below to carry out five repetitions of the frog's jumps and give an estimate of the probability from those repetitions.

126 96927 19931 36089 74192 77567 88741 48409 41903 127 43909 99477 25330 64359 40085 16925 85117 36071 128 15689 14227 06565 14374 13352 49367 81982 87209 129 36759 58984 68288 22913 18638 54303 00795 08727 130 69051 64817 87174 09517 84534 06489 87201 97245

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