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Mathematics — CBSE Class 10 board question

Q1. [1]
Two coins are tossed together. The probability of getting at least one tail is :
  1. (a) $\dfrac{1}{4}$
  2. (b) $\dfrac{1}{2}$
  3. (c) $\dfrac{3}{4}$
  4. (d) $1$
Previously asked in CBSE board exam
2023 30/5/1 Q15
Generated by claude-sonnet-4-6 · 2026-06-15 10:30 · grounding rag
Model Answer

(c) $\dfrac{3}{4}$

Sample space = {HH, HT, TH, TT}; total outcomes = 4. Outcomes with at least one tail = {HT, TH, TT} = 3. P(at least one tail) = $\dfrac{3}{4}$.

Explanation

"At least one tail" means one or more tails, so exclude only the all-heads outcome (HH). The complement method also works: P(no tail) = 1/4, so P(at least one tail) = 1 − 1/4 = 3/4. This mirrors Example 9 of the textbook (at least one head → 3/4).

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