CUET · MATHS · PYQ PAPER 2025
Three bad eggs are mixed with 7 good ones
If two eggs are drawn one by one without replacement
then the probability distribution of the number X of bad eggs drawn is
- A
X 0 1 2 P(X) 1/4 1/2 1/4 - B
X 0 1 2 P(X) 15/61 20/61 26/61 - C
X 0 1 2 P(X) 7/15 7/15 1/15 - D
X 0 1 2 P(X) 1/8 1/4 5/8
Answer & Solution
Correct Answer
(A) X 0 1 2 P(X) 1/4 1/2 1/4
Step-by-step Solution
Detailed explanation
Total ways to choose 2 eggs: \( \binom{10}{2} = 45 \) \( P(X=0) = \frac{\binom{3}{0}\binom{7}{2}}{\binom{10}{2}} = \frac{1 \times 21}{45} = \frac{7}{15} \) \( P(X=1) = \frac{\binom{3}{1}\binom{7}{1}}{\binom{10}{2}} = \frac{3 \times 7}{45} = \frac{7}{15} \)…
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