JEE Mains · Maths · STD 12 - 13. probability
Given three indentical bags each containing 10 balls, whose colours are as follows :
\(\begin{array}{cccc} & \text{Red} & \text{Blue} & \text{Green} \\ \text{Bag I} & 3 & 2 & 5 \\ \text{Bag II} & 4 & 3 & 3 \\ \text{Bag III} & 5 & 1 & 4\end{array}\)
A person chooses a bag at random and takes out a ball. If the ball is Red, the probability that it is from bag I is p and if the balls is Green, the probability that it is from bag III is q , then the value of \(\left(\frac{1}{\mathrm{p}}+\frac{1}{\mathrm{q}}\right)\) is :
- A \(6\)
- B \(9\)
- C \(7\)
- D \(8\)
Answer & Solution
Correct Answer
(C) \(7\)
Step-by-step Solution
Detailed explanation
\(\mathrm{p}=\mathrm{P}\left(\frac{\mathrm{B}_{\mathrm{I}}}{\mathrm{R}}\right)=\frac{\frac{1}{3}\left(\frac{3}{10}\right)}{\frac{1}{3}\left(\frac{3}{10}+\frac{4}{10}+\frac{5}{10}\right)}=\frac{1}{4}\)…
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