CUET · MATHS · PYQ PAPER 2025
A bag contains 4 red and 6 black balls. Two balls are drawn in succession without replacement. The probability that the first is red and the second is black is
- A \(\frac{2}{5}\)
- B \(\frac{2}{3}\)
- C \(\frac{4}{15}\)
- D \(\frac{6}{25}\)
Answer & Solution
Correct Answer
(C) \(\frac{4}{15}\)
Step-by-step Solution
Detailed explanation
\(P(\text{1st R}) = \frac{4}{10}\) \(P(\text{2nd B}|\text{1st R}) = \frac{6}{9}\) \(P(\text{1st R and 2nd B}) = \frac{4}{10} \times \frac{6}{9} = \frac{24}{90} = \frac{4}{15}\)
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