Question:
A man takes a step forward with probability 0.4 and backward with probability 0.6. The probability that at the end of eleven steps he is one step away from the starting point is
A man takes a step forward with probability 0.4 and backward with probability 0.6. The probability that at the end of eleven steps he is one step away from the starting point is
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Net displacement problems use binomial distribution.
Updated On: Mar 19, 2026
- \(\dfrac{2^5\cdot3^5}{5^{10}}\)
- \(462\times\left(\dfrac{6}{25}\right)^5\)
- \(231\times\dfrac{3^5}{5^{10}}\)
- None of these
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The Correct Option is B
Solution and Explanation
Net displacement =1 step:
Forward=6, Backward=5
Ways:
¹1C₆=462
Probability:
462(0.4)⁶(0.6)⁵
=462((6)/(25))⁵
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