COMEDK · Maths · 36. Probability
If for two events \(A\) and \(B, P(A-B)=\dfrac{1}{5}\) and \(P(A)=\dfrac{3}{5}\) then \(P(B / A)=\)
- A \(\dfrac{3}{5}\)
- B \(\dfrac{2}{3}\)
- C \(\dfrac{2}{5}\)
- D \(\dfrac{1}{2}\)
Answer & Solution
Correct Answer
(B) \(\dfrac{2}{3}\)
Step-by-step Solution
Detailed explanation
The probability of the event \(A-B\) is given by \(P(A-B) = P(A) - P(A \cap B)\). Given \(P(A-B) = \dfrac{1}{5}\) and \(P(A) = \dfrac{3}{5}\), we substitute these values into the equation: \(\dfrac{1}{5} = \dfrac{3}{5} - P(A \cap B)\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- Which of the following transformations reduce the differential equation \(\dfrac{d z}{d x}+\dfrac{z}{x} \log z=\dfrac{z}{x^2}(\log z)^2\) into the form \(\dfrac{d u}{d x}+P(x) u=Q(x)\)COMEDK 2025 Medium
- In a game, a man wins ₹ 1000 if he gets an even number greater than or equal to 4 on a fair dice and loses ₹ 200 for getting any other number on the dice. If he decides to throw the dice until he wins or maximum of three times, then his expected gain/loss in (₹) is --COMEDK 2025 Medium
- In the interval \((0,1)\) the function \(f(x)=x^2-x+1\) isCOMEDK 2025 Easy
- If \(
\left[\begin{array}{lll}
1 & x & 1
\end{array}\right]\left[\begin{array}{ccc}
1 & 3 & 2 \\
2 & 5 & 1 \\
15 & 3 & 2
\end{array}\right]\left[\begin{array}{l}
1 \\
2 \\
x
\end{array}\right]=[0]
\) then x is equal toCOMEDK 2024 Medium - The sides of a triangle are \(x=2, y+1=0\) and \(x+2 y=4\). Its circumcentre isCOMEDK 2017 Easy
- The general solution of \(\tan x-\sin x=1-\tan x \cdot \sin x\)COMEDK 2012 Medium
More PYQs from COMEDK
- If \(A=\left[\begin{array}{lll}a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & a\end{array}\right]\), then \(|A|| \operatorname{adj} A \mid\) is equal toCOMEDK 2022 Medium
- The area bounded by the curve \(y=\cos x, x=0\) and \(x=\pi\) isCOMEDK 2024 Easy
- Three moles of \(\mathrm{PCl}_{5}\), three moles of \(\mathrm{PCl}_{3}\) and two moles of \(\mathrm{Cl}_{2}\) are taken in a closed vessel. If at equilibrium the vessel has \(1.5\) moles of \(\mathrm{PCl}_{5}\), the number of moles of \(\mathrm{PCl}_{3}\) present in it isCOMEDK 2017 Hard
- An element with atomic number 21 is aCOMEDK 2017 Easy
- If \(\frac{3 x^{2}-2 x+4}{(x-1)^{6}}=\frac{A_{1}}{x+1}+\frac{A_{2}}{(x+1)^{2}}+\frac{A_{3}}{(x+1)^{3}}\) \(+\frac{A_{4}}{(x+1)^{4}}+\frac{A_{5}}{(x+1)^{5}}+\frac{A_{6}}{(x+1)^{6}}\), then \(\left(A_{1}+A_{2}+A_{2}-A_{4}-A_{6}\right)=\)COMEDK 2018 Hard
- What is the ratio of the mean free paths of the molecules of two gases \(A\) and \(B\) having the molecular diameters \(2 \mathrm{~A}^0\) and \(3 \mathrm{~A}^0\) respectively under the identical conditions of pressure, temperature and volume?COMEDK 2025 Medium