Multiple choice

Find the probability of getting $2$ heads and $2$ tails from tossing of $4$ coins.

  1. $\dfrac{3}{8}$
  2. $\dfrac{2}{5}$
  3. $\dfrac{1}{10}$
  4. $\dfrac{4}{5}$
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A Correct answer
Explanation

Total outcomes for 4 coins = 2^4 = 16. Outcomes with 2 heads and 2 tails = 4C2 = 6. Probability = 6/16 = 3/8.

AI explanation

When four distinct coins are tossed, the total number of possible outcomes in the sample space is 2^4, which equals 16. The number of ways to get exactly 2 heads out of 4 tosses is found using the combination formula 4C2, which equals 6. The probability is the number of favorable outcomes divided by the total outcomes, giving 6 divided by 16. This fraction simplifies to 3 divided by 8.

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