probability

A drunked man move forward with probability 0.4 and backward with probability 0.6. Find the probability that in his 11th step he is one sptep away from his starting point.

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1 Answer

P(one step from starting point)
= P(5 steps forward and 6 steps backward) + P(6 steps forward and 5 steps backward)
= [(11 C 5) (0.4)^5 (0.6)^6] + [(11 C 6) (0.4)^6 (0.6)^5]
= 0.220723937 + 0.147149291
= 0.367873228
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