Multiple choice

When an unbiased coin is tossed thrice the probability of getting heads all the time is :

  1. $\dfrac {1}{8}$
  2. $\dfrac {1}{6}$
  3. $\dfrac {2}{8}$
  4. $\dfrac {1}{5}$
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A Correct answer
Explanation

Each toss has 2 outcomes. For 3 tosses, total outcomes = 2^3 = 8. The only outcome with all heads is (H, H, H), which is 1 outcome. Probability = 1/8.

AI explanation

When an unbiased coin is tossed three times, the total number of possible outcomes is 2 cubed, which is 8. Getting heads all three time means getting the specific outcome HHH, which is just 1 favorable outcome. The required probability is 1 divided by 8. The result is 1/8.

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