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Question

Three fair coins are tossed simultaneously. What is the probability of getting at least one head ?

This question was previously asked in
UPTET 2026 Paper 2 Social Studies Question Paper (3-Jul-2026) (Shift 1)
The correct answer is

7/8

Tossing three fair coins gives \(2^3 = 8\) equally likely outcomes.

The only outcome with no heads at all is all tails (TTT), which has probability \(\frac{1}{8}\).

So the probability of at least one head is \(1 - \frac{1}{8} = \frac{7}{8}\).

The probability of getting at least one head is 7/8.

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Important Questions from Probability

  1. The probability of being 53 Sundays in year 2020 is-

  2. Three dice are thrown randomly. The probability of coming 3 in at least one die is

  3. The probability of having 53 Tuesdays in an ordinary year is:

  4. Two dice are thrown simultaneously The probability of getting the sum 2 or 8 or 12 is

  5. If two balanced dice are tossed once, the probability of the event, that the sum of the integers coming on the upper sides of the two dice is 9, is

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