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Aastha Tyagi posted an Question
October 10, 2020 • 14:15 pm 30 points
  • IIT JAM
  • Mathematical Statistics (MS)

Youngman who is waiting for a young lady decides to walk under the following set of rules. hle tosses a fair coin. if the coin falls heads, he walks 10 steps no

youngman who is waiting for a young lady decides to walk under the following set of rules. Hle tosses a fair coin. If the coin falls heads, he walks 10 steps north; if the coin falls tails, he walks 10 steps south. What is the probability that after walking 100 steps he is: () back at the starting point, (11) 20 steps from the starting point, and (i1) 40 steps from the starting point

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  • Kaushik gupta

    all probabilities can be obtain by binomial distribution

  • Kaushik gupta

    ii P(40 steps from starting point)=P(7heads and 3 tails)=(10C7)*(1/2)^10=15/128

    eduncle-logo-app

    p(7tails n 3 heads) is also gave same result...so answer should be 2×15/128

    eduncle-logo-app

    yes you are right

  • Kaushik gupta best-answer

    ii P(20 steps from starting point)=P(6 heads and 4 tails)=(10C6)*(1/2)^10=105/512

  • Kaushik gupta best-answer

    i P(back at starting point)=P( 5 heads and 5 tails)=(10C5)×(1/2)^10=63/256

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