Multiple choice

If two coins are tossed then find the probability of the event that no head turns up.

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

When tossing two coins, the sample space is {HH, HT, TH, TT}. Only one outcome, TT, results in no heads. Thus, the probability is 1/4.

AI explanation

When two coins are tossed, the sample space consists of 4 outcomes: HH, HT, TH, and TT. The event that no heads turn up corresponds to only the TT outcome. Using the classical probability formula, the probability is 1 favorable outcome divided by 4 total outcomes, which is 1/4.

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