Multiple choice

Probability of getting $3$ heads and $3$ tails in tossing a coin $3$ times is

  1. $\dfrac {1}{8}$
  2. $\dfrac {1}{4}$
  3. $\dfrac {3}{8}$
  4. $\dfrac {1}{2}$
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B Correct answer
AI explanation

The probability of obtaining 3 heads and 3 tails in exactly 3 tosses represents getting either all 3 heads or all 3 tails, since the maximum number of results is three. The probability of getting all heads is (1/2) cubed, which is 1/8, and the probability of getting all tails is also 1/8. Adding these two mutually exclusive probabilities gives 1/8 + 1/8 = 1/4.

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