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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § 14.1 Probability — A Theoretical Approach
Two coins are tossed simultaneously. The probability of getting atleast one head is
  1. A $\frac{1}{4}$
  2. B $\frac{1}{2}$
  3. C $\frac{3}{4}$
  4. D 1
Previously asked in CBSE board exam
2025 30/6/1 Q8
Generated by claude-sonnet-4-6 · 2026-06-15 10:31 · grounding rag
Model Answer

Option C: $\dfrac{3}{4}$

When two coins are tossed, total outcomes = {HH, HT, TH, TT} = 4. Favourable outcomes (at least one head) = {HH, HT, TH} = 3. So, P(at least one head) = $\dfrac{3}{4}$.

Source: Chapter 14, Example 9

Explanation

"At least one head" means one or more heads — include all outcomes except TT. Students often wrongly count only 3 outcomes total (HH, HT/TH, TT), giving $\dfrac{1}{3}$; remember HT and TH are different outcomes.

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