MHT CET · Maths · Probability
If \(X \sim B(35, p)\) such that \(7 P(X=0)=P(X=1)\) then the value of \(\frac{\mathrm{P}(\mathrm{X}=15)}{\mathrm{P}(\mathrm{X}=20)}\) is equal to
- A \(\frac{3125}{7776}\)
- B 3125
- C 7776
- D \(\frac{625}{1296}\)
Answer & Solution
Correct Answer
(B) 3125
Step-by-step Solution
Detailed explanation
\( 7 P(X=0)=P(X=1) \) \( 7 \binom{35}{0} p^0 (1-p)^{35} = \binom{35}{1} p^1 (1-p)^{34} \)
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