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When a coin is tossed, the probability of getting a Head is . Let  be the random variable denoting the number of tosses till the first Head appears, including the toss where the Head appears. Assuming that successive tosses are independent, the expected value of N is
  • a)
    1/p
  • b)
    1/(1 - p)
  • c)
    1/p2
  • d)
    1/(1 - p2)
Correct answer is option 'A'. Can you explain this answer?
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When a coin is tossed, the probability of getting a Head is . Let be ...

multiply both side with  and subtract:
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When a coin is tossed, the probability of getting a Head is . Let be ...

multiply both side with  and subtract:
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When a coin is tossed, the probability of getting a Head is . Let be ...

multiply both side with  and subtract:
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When a coin is tossed, the probability of getting a Head is . Let be the random variable denoting the number of tosses till the first Head appears, including the toss where the Head appears. Assuming that successive tosses are independent, the expected value of N isa)1/pb)1/(1 - p)c)1/p2d)1/(1 - p2)Correct answer is option 'A'. Can you explain this answer?
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