A man take 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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a
0.35
b
0.36
c
0.37
d
0.38
answer is C.
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Detailed Solution
The man is one step away from starting point in two cases(1) He takes 6 steps forward and 5 steps backward(2) He takes 5 steps forward and 6 steps backward.Required probability =11C6(0.4)6(0.6)5+11C5(0.4)5(0.6)6=0.37