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A man takes a step forward with probability 0.4 and backward with probability 0.6. Find the probability that at the end of eleven steps he is one step away from the starting point

A man takes a step forward with probability 0.4 and backward with probability 0.6. Find the probability that at the end of eleven steps he is one step away from the starting point

Grade:12

1 Answers

Shivansh Saumya
46 Points
7 years ago
there will be 2 cases,
6 steps forward;5 steps backward
6 steps backward;5 steps forward
= reqd. probability
= 11C6 * (0.4)^6 * (0.5)^5 + 11C6 * (0.4)^5 * (0.6)^5

= 11C5 * (0.4)^5 * (0.6)^5 * (0.4 + 0.6) ... [11C6 = 11C5]

= (11x10x9x8x7)/(1x2x3x4x5) * (0.24)^5

= 0.368.

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