CUET UG 2025 — General Test Quantitative Reasoning

"At least 2 heads" means 2 heads OR 3 heads.

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When tossing 3 coins, each coin can land in 2 ways: Heads (H) or Tails (T).

Total possible outcomes $= 2 \times 2 \times 2 = 8$=2×2×2=8

All 8 possible outcomes:

1. HHH (3 heads)
2. HHT (2 heads)
3. HTH (2 heads)
4. HTT (1 head)
5. THH (2 heads)
6. THT (1 head)
7. TTH (1 head)
8. TTT (0 heads)

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Outcomes with 2 heads OR 3 heads:

Exactly 3 heads: HHH → 1 outcome

Exactly 2 heads: HHT, HTH, THH → 3 outcomes

Total favorable outcomes $= 1 + 3 = 4$=1+3=4

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Probability $= \dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$=Total number of outcomesNumber of favorable outcomes​

Probability $= \dfrac{4}{8}$=84​

Probability $= \dfrac{1}{2}$=21​

Therefore, the probability of getting at least 2 heads is $\dfrac{1}{2}$21​.