Multiple choice

When two coins are tossed together, what is the probability of getting at least one tail?

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

Sample space for two coins is {HH, HT, TH, TT}. Outcomes with at least one tail are {HT, TH, TT}. Probability = 3/4.

AI explanation

When two coins are tossed, the total number of possible outcomes in the sample space is 2 raised to the power of 2, which is 4 outcomes: HH, HT, TH, and TT. The event of getting at least one tail includes all outcomes except HH, giving 3 favorable outcomes. Using the classical definition of probability, the probability is the number of favorable outcomes divided by the total outcomes, which is 3 divided by 4.

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