Multiple choice

A coin is tossed again and again. If tail appears on first three tosses, then the chance that head appears on fourth toss is

  1. $\cfrac{1}{16}$
  2. $\cfrac{1}{2}$
  3. $\cfrac{1}{8}$
  4. $\cfrac{1}{4}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Each coin toss is an independent event. The outcome of the first three tosses does not affect the probability of the fourth toss, which remains 1/2 for heads.

AI explanation

Each toss of a fair coin is an independent event, meaning the outcome of previous tosses does not affect the next one. The probability of getting a head on any single toss remains a constant 1/2. Therefore, even if a tail appears on the first three tosses, the chance that a head appears on the fourth toss is still 1/2.