COMEDK · Maths · 36. Probability
If A and B are two events such that \(P(\bar{A})=0.3, P(B)=0.4, P(A \cap \bar{B})=0.5\), then find the value of \(P(B / A \cup \bar{B})\)
- A \(0.7\)
- B \(0.33\)
- C \(0.8\)
- D \(0.25\)
Answer & Solution
Correct Answer
(D) \(0.25\)
Step-by-step Solution
Detailed explanation
Given \(P(\bar{A}) = 0.3\), we have \(P(A) = 1 - 0.3 = 0.7\). Given \(P(A \cap \bar{B}) = 0.5\), we use the identity \(P(A \cap \bar{B}) = P(A) - P(A \cap B)\). \(0.5 = 0.7 - P(A \cap B) \Rightarrow P(A \cap B) = 0.2\). We need to find…
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
- If a quadratic function in \(x\) has the value 19 when \(x=1\) and has a maximum value 20 when \(x=2\), then the function isCOMEDK 2025 Medium
- "A storage room must be kept at a temperature (T) such that triple the temperature is at least 15° C, but the temperature plus 8 is not more than 20° C. What is the range of safe temperatures?"COMEDK 2026 Easy
- If \(a \mid(b+c)\) and \(a \mid(b-c)\), where \(a, b, c \in N\), thenCOMEDK 2016 Medium
- \(\int \dfrac{(x-1)}{(x+1)^3} e^x d x=P(x)+c\) then \(P(x)=\)COMEDK 2025 Medium
- \(\int \frac{x d x}{2(1+x)^{3 / 2}}\) is equal toCOMEDK 2023 Easy
- If \(\alpha, \beta, \gamma\) are the roots of the equation \(x^{3}-3 x^{2}+2 x-1=0\), then the value of \((1-\alpha)(1-\beta)(1-\gamma)\) isCOMEDK 2012 Easy
More PYQs from COMEDK
- In Young's double slit interference experiment, using two coherent waves of different amplitudes, the intensities ratio between bright and dark fringes is 3 . Then, the value of the ratio of the amplitudes of the wave that arrive there isCOMEDK 2023 Medium
- Three point charges are located on a circular arc at A, B and C as shown in the figure below. The total electric field at the centre of the arc (0) is
COMEDK 2024 Medium - Density of \(3 \mathrm{M}\) solution of \(\mathrm{NaCl}\) is \(1.25 \mathrm{~g} / \mathrm{mL}\). The mass of the solvent in the solution isCOMEDK 2014 Medium
- A point object is placed on the optic axis of a convex lens of focal length \(f\) at a distance of \(2 f\) to the left of it. The diameter of the lens is \(d\). An eye is placed at a distance of \(3 f\) to the right of the lens and a distance \(h\) below the optic axis. The maximum value of \(h\) to see the image isCOMEDK 2022 Hard
- If the direction ratios of two lines are given by \(3 l m-4 l n+m n=0\) and \(l+2 m+3 n=0\), then the angle between the lines isCOMEDK 2023 Hard
- Given \(\cos \left(\tan ^{-1} x\right)=\sin \left(\cot ^{-1} \dfrac{3}{4}\right)\), then the value of \(x\) isCOMEDK 2025 Medium