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An unbiased coin is tossed until the first head appears or until four tosses are completed, whichever happens earlier. Which of the following statements is/are correct?
1. The probability that no head is observed is 1/16
2. The probability that the experiment ends with three tosses is 1/8
Q. Select the correct answer using the code given below:
  • a)
    1 only
  • b)
    2 only
  • c)
    Both 1 and 2
  • d)
    Neither 1 nor 2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An unbiased coin is tossed until the first head appears or until four ...
S = {H, TH, TTH, TTTH, TTTT}
P (T)= P (H) = 1/2
[Probability of getting head or tail in a single toss] Probability that no head is observed = P(TTTT)
= P(T) P(T) P(T) P(T)
1/24 = 16
And the probability that the experiment ends with 3 tosses
= P (TTH)
= P(T) P(T) P(H)
= 1/8
Hence, both statements are correct.
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An unbiased coin is tossed until the first head appears or until four tosses are completed, whichever happens earlier. Which of the following statements is/are correct?1. The probability that no head is observed is 1/162. The probability that the experiment ends with threetosses is 1/8Q. Select the correct answer using the code given below:a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'C'. Can you explain this answer?
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