JEE Mains · Maths · STD 12 - 13. probability
A fair die is tossed until six is obtained on it. Let \(X\) be the number of required tosses, then the conditional probability \(\mathrm{P}(\mathrm{X} \geq 5 \mid \mathrm{X}>2)\) is :
- A \(\frac{125}{216}\)
- B \(\frac{11}{36}\)
- C \(\frac{5}{6}\)
- D \(\frac{25}{36}\)
Answer & Solution
Correct Answer
(D) \(\frac{25}{36}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{P}(\mathrm{x} \geq 5 \mid \mathrm{x}>2)=\frac{\mathrm{P}(\mathrm{x} \geq 5)}{\mathrm{P}(\mathrm{x}>2)}\)…
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 number of matrices of order \(3 \times 3\), whose entries are either \(0\) or \(1\) and the sum of all the entries is a prime number, is\(....\)JEE Mains 2022 Hard
- Let \(y=y(x)\) be the solution of the differential equation, \(x y^{\prime}-y=x^{2}(x \cos x+\sin x), x>0\) If \(y (\pi)=\pi,\) then \(y ^{\prime \prime}\left(\frac{\pi}{2}\right)+ y \left(\frac{\pi}{2}\right)\) is equal toJEE Mains 2020 Hard
- Let \(\mathrm{P}\) be a point on the hyperbola \(\mathrm{H}: \frac{\mathrm{x}^2}{9}-\frac{\mathrm{y}^2}{4}=1\), in the first quadrant such that the area of triangle formed by \(\mathrm{P}\) and the two foci of \(\mathrm{H}\) is \(2 \sqrt{13}\). Then, the square of the distance of \(\mathrm{P}\) from the origin isJEE Mains 2024 Hard
- Let the numbers \(2, b, c\) be in an \(A.P\) and \(A = \left[ {\begin{array}{*{20}{c}}
1&1&1 \\
2&b&c \\
4&{{b^2}}&{{c^2}}
\end{array}} \right]\). If \(det(A) \in [2,16]\) then \(c\) lies in the intervalJEE Mains 2019 Hard - The shortest distance between the line \(\frac{x-3}{4}=\frac{y+7}{-11}=\frac{z-1}{5} \text { and } \frac{x-5}{3}=\frac{y-9}{-6}=\frac{z+2}{1}\) is :JEE Mains 2024 Medium
- Let \(\alpha\) be the area of the larger region bounded by the curve \(y ^2=8 x\) and the lines \(y = x\) and \(x =2\), which lies in the first quadrant. Then the value of \(3 \alpha\) is equal to \(..............\).JEE Mains 2023 Hard
More PYQs from JEE Mains
- If the midpoint of a chord of the ellipse \(\frac{x^2}{9}+\frac{y^2}{4}=1\) is \((\sqrt{2}, 4 / 3)\), and the length of the chord is \(\frac{2 \sqrt{\alpha}}{3}\), then \(\alpha\) is :JEE Mains 2025 Medium
- Consider the relation R on the set \(\{-2,-1,0,1,2\}\) defined by \((a, b) \in R\) if and only if \(1+ab > 0\). Then, among the statements:
I. The number of elements in R is 17
II. R is an equivalence relationJEE Mains 2026 Medium - If \(\sum_{r=1}^{30} \frac{r^2\left({ }^{30} C_r\right)^2}{{ }^{30} C_{r-1}}=\alpha \times 2^{29}\), then \(\alpha\) is equal to ______JEE Mains 2025 Hard
- Let in a \(\triangle A B C\), the length of the side \(A C\) be 6 , the vertex \(B\) be \((1,2,3)\) and the vertices \(A, C\) lie on the line \(\frac{x-6}{3}=\frac{y-7}{2}=\frac{z-7}{-2}\). Then the area (in sq. units) of \(\triangle \mathrm{ABC}\) is:JEE Mains 2025 Medium
- If the mean deviation about median for the number \(3,5,7,2\,k , 12,16,21,24\) arranged in the ascending order, is \(6\) then the median isJEE Mains 2022 Medium
- If \(\frac{{dy}}{{dx}} + \frac{3}{{{{\cos }^2}\,x}}\,y = \frac{1}{{{{\cos }^2}\,x}},\) \(x \in \left( {\frac{{ - \pi }}{3},\frac{\pi }{3}} \right)\) and \(y\left( {\frac{\pi }{4}} \right) = \frac{4}{3}\), then \(y\left( { - \frac{\pi }{4}} \right)\) equalsJEE Mains 2019 Hard