Multiple choice

A coin is tossed twice. What is the probability that the outcome would either be tails or heads on both the occasions?

  1. 1/4

  2. 1/2

  3. 3/4

  4. Cannot be determined

  5. 1/6
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B Correct answer
Explanation

Possible outcomes: HH, HT, TH, TT. Outcomes with same result on both occasions: HH, TT. Probability = 2/4 = 1/2.

AI explanation

Using the classical definition of probability, the sample space for tossing a coin twice contains four outcomes: HH, HT, TH, and TT. The favorable outcomes for tails or heads on both occasions are TT and HH. The required probability is the number of favorable outcomes divided by the total outcomes, which is 2/4 or 1/2.

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