If a fair coin is flipped several times until it lands on heads and the likelihood of such outcome is 50%, the probability of the coin landing on heads for the first time is 1/8.
There are four primary categories of probability: classical, empirical, subjective, and axiomatic. Since possibility and probability are equivalent, you may define probability as the likelihood that a specific event will occur.
given
A fair coin is repeatedly flipped until it comes up heads.
The coin is impartial.
On the third try, we need to calculate the likelihood of the first landing being on heads.
We are aware that each flip of a fair coin is independent of the others, and that each effort results in P(H) = P(T) = 0.5.
Required probability is the likelihood that the third attempt's first landing will be on heads.
= Chance of (I two trials result in tail and third result in head)
=P(I head) P(II head) P(III tail) (since each trial is independent)
= ( 1 /2 ) (1/2)(1/2) = (1/8 )
If a fair coin is flipped several times until it lands on heads and the likelihood of such outcome is 50%, the probability of the coin landing on heads for the first time is 1/8.
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