COMEDK · Maths · 36. Probability
A and B each have a calculator which can generate a single digit random number from the set \(\{1,2,3,4,5,6,7,8\}\). They can generate a random number on their calculator. Given that the sum of the two numbers is 12 , then the probability that the two numbers are equal is
- A \(\dfrac{1}{8}\)
- B \(\dfrac{5}{64}\)
- C \(\dfrac{1}{5}\)
- D \(\dfrac{1}{16}\)
Answer & Solution
Correct Answer
(C) \(\dfrac{1}{5}\)
Step-by-step Solution
Detailed explanation
Let \(X\) be the number generated by A and \(Y\) be the number generated by B, where \(X, Y \in \{1, 2, 3, 4, 5, 6, 7, 8\}\). The total number of possible outcomes is \(8 \times 8 = 64\). We are given that the sum \(X + Y = 12\). The possible pairs \((X, Y)\) that satisfy this…
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
- "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 \(a\) is a parameter then an equation of a family of lines having the sum of the intercepts on axes equal to 7 isCOMEDK 2014 Medium
- If \(f(x)\) satisfies the relation \(2 f(x)+f(1-x)=x^{2}\) for all real \(x\), then \(f(x)\) isCOMEDK 2021 Medium
- Let \((3,4,-1)\) and \((-1,2,3)\) be the end points of a diameter of a sphere. Then, the radius of the sphere is equal toCOMEDK 2017 Easy
- If \(\quad 2 y=\left[\cot ^{-1}\left(\dfrac{\sqrt{3} \cos x+\sin x}{\cos x-\sqrt{3} \sin x}\right)\right]^2 \forall x \in\left(0, \dfrac{\pi}{2}\right)\) then \(\dfrac{d y}{d x}\) is equal toCOMEDK 2025 Medium
- If \(\lim _{x \rightarrow \infty}\left(1+\dfrac{a}{x}+\dfrac{b}{x^2}\right)^{2 x}=e^2\), thenCOMEDK 2022 Hard
More PYQs from COMEDK
- \(\text { The rate of change of the volume of a sphere with respect to its surface area } \mathrm{S} \text { is }\)COMEDK 2024 Medium
- A negative charge particle is moving upward in a magnetic field which is towards north. The particle is deflected towardsCOMEDK 2024 Easy
- The derivative of \(y = \sin^2\left[\cot^{-1}\left(\sqrt{\dfrac{1-x}{1+x}}\right)\right]\) isCOMEDK 2026 Medium
- If \(f:[0, \infty) \rightarrow[2, \infty)\) is given by \(f(x)=x+\frac{1}{x}\), then \(f^{-1}(x)\) equalsCOMEDK 2014 Easy
- A glass slab of 16 cm thickness has its bottom surface silvered. An air bubble is located inside the glass slab at a distance of 8 cm from the top surface. The refractive index of glass is 1.6. Which of the following correctly represents the number of images seen by an observer looking vertically downwards from air onto the top surface?COMEDK 2026 Medium
- An ideal gas is taken via path \(A B C A\) as shown in figure.
The network done in the whole cycle isCOMEDK 2018 Easy