Multiple choice

A fair coin is tossed repeatedly. If tail appears on first four tosses then find the probability of head appearing on fifth toss

  1. $\displaystyle\frac{1}{2}$
  2. $\displaystyle\frac{1}{4}$
  3. $\displaystyle\frac{3}{4}$
  4. $\displaystyle\frac{2}{3}$
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A Correct answer
Explanation

Coin tosses are independent events. The outcome of the previous tosses does not affect the probability of the next toss. Therefore, the probability of getting a head on the fifth toss remains 1/2.

AI explanation

Every coin toss is an independent event, so the outcome of the first four tosses does not affect the fifth toss. The sample space for the fifth toss contains two equally likely outcomes, heads or tails. The probability of obtaining a head on this specific toss is 1 divided by 2.

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