JEE Mains · Maths · STD 12 - 13. probability
A biased die is marked with numbers \(2,4,8,16,32,32\) on its faces and the probability of getting a face with mark \(n\) is \(\frac{1}{n}\). If the die is thrown thrice, then the probability, that the sum of the numbers obtained is \(48\) , is
- A \(\frac{7}{2^{11}}\)
- B \(\frac{7}{2^{12}}\)
- C \(\frac{3}{2^{10}}\)
- D \(\frac{13}{2^{12}}\)
Answer & Solution
Correct Answer
(D) \(\frac{13}{2^{12}}\)
Step-by-step Solution
Detailed explanation
\(P ( n )=\frac{1}{ n }\) \(P (2)=\frac{1}{2} \quad P (8)=\frac{1}{8}\) \(P (4)=\frac{1}{4} \quad P (16)=\frac{1}{16}\) \(P (32)=\frac{2}{32}\) Possible cases \(16,16,16\) and \(32,8,8\) Probability…
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
- Let \(A=\{1,2,3,5,8,9\}\). Then the number of possible functions \(f : A \rightarrow A\) such that \(f(m \cdot n)=f(m) \cdot f(n)\) for every \(m, n \in A\) with \(m \cdot n \in A\) is equal to \(...............\).JEE Mains 2023 Medium
- If the points of intersection of the ellipses \( x^{2}+2y^{2}-6x-12y+23=0 \) and \( 4x^{2}+2y^{2}-20x-12y+35=0 \) lie on a circle of radius \( r \) and centre \( (a, b) \), then the value of \( ab+18r^{2} \) is:JEE Mains 2026 Easy
- If the tangents on the ellipse \(4x^2 + y^2 = 8\) at the points \((1, 2)\) and \((a, b)\) are perpendicular to each other, then \(a^2\) is equal toJEE Mains 2019 Hard
- If \(\alpha \neq \mathrm{a}, \beta \neq \mathrm{b}, \gamma \neq \mathrm{c}\) and \(\left|\begin{array}{lll}\alpha & \mathrm{b} & \mathrm{c} \\ \mathrm{a} & \beta & \mathrm{c} \\ \mathrm{a} & \mathrm{b} & \gamma\end{array}\right|=0\),then \(\frac{a}{\alpha-a}+\frac{b}{\beta-b}+\frac{\gamma}{\gamma-c}\) is equal to :JEE Mains 2024 Hard
- The coefficient of \(x^{18}\) in the product \((1+ x)(1- x)^{10} (1+ x + x^2 )^9\) isJEE Mains 2019 Hard
- Let \(S\) be the set of all real roots of the equation, \(3^{x}\left(3^{x}-1\right)+2=\left|3^{x}-1\right|+\left|3^{x}-2\right| .\) Then \(\mathrm{S}\)JEE Mains 2020 Hard
More PYQs from JEE Mains
- \(\lim _{x \rightarrow 0} \frac{\sin ^{2}\left(\pi \cos ^{4} x\right)}{x^{4}}\) is equal to :JEE Mains 2021 Hard
- If \({e^y} + xy = e\), the ordered pair \(\left( {\frac{{dy}}{{dx}},\frac{{{d^2}y}}{{d{x^2}}}} \right)\) at \(x = 0\) is equal toJEE Mains 2019 Hard
- The value of \(\int_{-1}^{1} x ^{2} e ^{\left[x^{3}\right]} dx ,\) where \([ t ]\) denotes the greatest integer \(\leq t ,\) isJEE Mains 2021 Hard
- Let \(f ( x )= x \cdot\left[\frac{ x }{2}\right],\) for \(-10< x <10,\) where \([ t ]\) denotes the greatest integer function. Then the number of points of discontinuity of \(f\) is equal toJEE Mains 2020 Hard
- Let \(A = \,\left[ {\begin{array}{*{20}{c}}
1&0&0\\
1&1&0\\
1&1&1
\end{array}} \right]\) and \(B = A^{20}\) . Then the sum of the elements of the first column of \(B\) is?JEE Mains 2018 Hard - If \(\alpha\) is a root of the equation \(x^2+x+1=0\) and \(\sum_{\mathrm{k}=1}^{\mathrm{n}}\left(\alpha^{\mathrm{k}}+\frac{1}{\alpha^{\mathrm{k}}}\right)^2=20\), then n is equal toJEE Mains 2025 Medium