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  1. The coin is biased as the probability of the both heads and tails should be the same.
  2. The tossing was faulty as the probability should have been equal.
  3. The probability of tail is always greater than the probability of head in a fair coin.
  4. Probability of head or a tail as \(\frac{1}{2}\) does not imply that there must be exactly 50% heads or tails on repeated toss of a fair coin.
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Option 4 : Probability of head or a tail as \(\frac{1}{2}\) does not imply that there must be exactly 50% heads or tails on repeated toss of a fair coin.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty. 

  • In the above example, a fair coin that has a head on one side and a tail on the other side was tossed 20 times.
  • 8 times it resulted in heads and 12 times into tails.
  • The coin has an equal probability of 1/2 for both head and tails if the coin is tossed for a single time.
  • But the same thing can't be applied if it is tossed multiple times.

​Hence "Probability of the head or a tail as does not imply that there must be exactly 50% heads or tails on repeated toss of a fair coin" is true.

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