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CUET · MATHS · PYQ PAPER 2025

The probability that it will rain on any particular day is \(50 \%\). The probability that it rains only on the first 4 days of the week is :

  1. A \(\frac{1}{64}\)
  2. B \(\frac{1}{128}\)
  3. C \(\frac{1}{16}\)
  4. D \(\frac{1}{8}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{1}{128}\)

Step-by-step Solution

Detailed explanation

\( P(\text{rain}) = \frac{1}{2} \) \( P(\text{no rain}) = 1 - \frac{1}{2} = \frac{1}{2} \) \( P(\text{rains only on first 4 days}) = P(\text{rain})^4 \times P(\text{no rain})^3 \)…