Multiple choice

If two unbiased coins are tossed, then what is the probability of getting at the most one tails?

  1. 1 2

  2. 1 3

  3. 2 3

  4. 3 4
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D Correct answer
Explanation

Possible outcomes for two coins: HH, HT, TH, TT. 'At most one tail' means 0 or 1 tail. Outcomes: HH (0 tails), HT (1 tail), TH (1 tail). Total favorable = 3. Total outcomes = 4. Probability = 3/4.

AI explanation

When two unbiased coins are tossed, the total number of possible outcomes in the sample space is 2 * 2 = 4, specifically HH, HT, TH, and TT. The favorable outcomes for getting at most one tail are getting zero tails (HH) or exactly one tail (HT, TH). Thus, there are 3 favorable outcomes out of 4 total possibilities. By the classical definition of probability, the required probability is 3/4.

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