COMEDK · Maths · 36. Probability
A six digit number is formed by using \(1,2,3,4\), 5,6 with no repetition. Then the probability that number 1 and 3 always come together.
- A \(\frac{1}{2}\)
- B \(\frac{1}{3}\)
- C \(\frac{2}{3}\)
- D \(\frac{1}{4}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{3}\)
Step-by-step Solution
Detailed explanation
Total number formed using this number \(=6\) ! Total number formed when 1,3 are together \(=5!\times 2\) So, required probability \(=\frac{2 \times 5!}{6!}=\frac{2 \times 5!}{6 \times 5!}=\frac{1}{3}\)
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
- The angle between the circles
\(\begin{aligned}
&x^{2}+y^{2}+4 x+2 y+1=0 \text { and } \\
&x^{2}+y^{2}-2 x+6 y-6=0 \text { is }
\end{aligned}\)COMEDK 2012 Easy - The number of common tangent to the circle \(x^2+y^2=9\) and \(x^2+y^2-6 x-8 y+21=0\)COMEDK 2024 Medium
- The second derivative of \(\sin 3x \cos 5x\) is:COMEDK 2026 Medium
- The conjugate of the multiplicative inverse of the complex number \(z = \dfrac{1 + 7i}{3 + i}\) is:COMEDK 2026 Medium
- \(7^{9}+9^{7}\) is divisible byCOMEDK 2014 Easy
- T. The angles \(A, B\) and \(C\) of a \(\triangle A B C\) are in A.P. If \(b: c=\sqrt{3}: \sqrt{2}\), then the angle \(A\) isCOMEDK 2019 Medium
More PYQs from COMEDK
- A long solenoid has 20 turns \(\mathrm{cm}^{-1}\). The current necessary to produce a magnetic field of \(20 \mathrm{mT}\) inside the solenoid is approximatelyCOMEDK 2021 Hard
- The displacement of a wave is given by \(y=20 \cos (\omega t+4 z)\). The amplitude of the given wave isCOMEDK 2021 Medium
- \(\mathrm{Cu}(s)+\mathrm{Sn}^{2+}(0.01 \mathrm{M}) \longrightarrow \mathrm{Cu}^{2+}(0.1 \mathrm{M})+\mathrm{Sn}(s)\)
The gibbs free energy change for above mention reaction at NTP is \(x \times 10^{-1} \mathrm{~kJ} / \mathrm{mol}\). The value of \(x\) is \(\qquad\) [Nearest integer]
\(\left[\right.\) Given \(E_{\mathrm{Cu}^{2+} / \mathrm{Cu}}^{\circ}=0.34 \mathrm{~V}, E_{\mathrm{Sn}^{2+} / / \mathrm{sn}}^{\circ}=-0.14 \mathrm{~V}\) \(F=96500 \mathrm{C} / \mathrm{mol}]\)COMEDK 2024 Hard - Find the geometric progression for which the sum of the first two terms is -4, the fifth term is four times the third term and common ratio is less than zeroCOMEDK 2025 Medium
- If \(R\) denotes the set of all real number, then the function \(f: R \rightarrow R\) defined \(f(x)=|x|\) isCOMEDK 2013 Easy
- The curve \(a x^3+b x^2+c x+d\) has a point of minima at \(x=1\), thenCOMEDK 2025 Medium