Multiple choice

A fair coin is tossed repeatedly. If head and tail appear alternatively on first 7 tosses; then the probability that head appears on the eighth toss is

  1. $1/2$
  2. $1/128$
  3. $1/256$
  4. $7/256$
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A Correct answer
Explanation

Each coin toss is an independent event. The outcome of the previous 7 tosses has no effect on the probability of the eighth toss.

AI explanation

Since the coin is fair and unbiased, the outcome of the eighth toss is completely independent of the previous seven tosses. The probability of getting a head on any single toss of a fair coin is always 1/2. Therefore, the probability that head appears on the eighth toss is 1/2.

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