Question

An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials:

(1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __.


Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?

Options :

  1. Two T will occur.

  2. One H and one T will occur.

  3. Two H will occur.

  4. One H will be followed by one T.

Show Answer

Answer :

One H and one T will occur.

Solution :

Out of six tosses, the result of four tosses is given as HHHT__ __.

For the last two tosses, the event of occurrence is: HH, HT, TH, TT

  • The probability that two heads will occur, P(HH) = 1/4
  • The probability that two tails will occur, P(TT) = 1/4
  • The probability that one head and one tail will occur, P(HT/TH) = 2/4 = 1/2

                P(HT/TH) > P(TT) or P(HH)

   "One H and one T will occur" has the highest probability of being correct

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