AP EAMCET · Maths · Probability
If two cards are drawn randomly from a pack of 52 playing cards, then the mean of the probability distribution of number of kings is
- A \(\frac{215^{\prime}}{221}\)
- B \(\frac{2}{13}\)
- C \(\frac{188}{221}\)
- D \(\frac{13}{2}\)
Answer & Solution
Correct Answer
(B) \(\frac{2}{13}\)
Step-by-step Solution
Detailed explanation
Let \(X\) : number of king card So, \(P(X=0)=\frac{{ }^{48} C_2}{{ }^{52} C_2}, P(X=1)=\frac{{ }^4 C_1{ }^{48} C_1}{{ }^{52} C_2}\) and \(P(X=2)=\frac{{ }^4 C_2}{{ }^{52} C_2}\) Now, mean of probability distribution…
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 the volume of the tetrahedron formed by the coterminous edges \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) is 4 , then the volume of the parallelopiped formed by the coterminous edges \(\mathbf{a} \times \mathbf{b}, \mathbf{b} \times \mathbf{c}\) and \(\mathbf{c} \times \mathbf{a}\) isAP EAMCET 2017 Medium
- If are the direction ratios of a ray passing through the point and also the mid point of the line segment joining the points and thenAP EAMCET 2022 Medium
- In a \(\triangle A B C\), if \(r_1=36, r_2=18\) and \(r_3=12\), then \(s=\)AP EAMCET 2022 Medium
- are respectively the points on the sides and of a dividing them in the ratio internally. The lines and intersect on the line at . If , thenAP EAMCET 2022 Hard
- Two roots of the equation \(a x^4+b x^3+c x^2+d x+e=0\) are positive and equal. If the product of the other two real roots is 1, thenAP EAMCET 2025 Hard
- If the line \(p x-q y=r\) intersects the coordinate axes at \((a, 0)\) and \((0, b)\), then the value of \((a+b)\) is equal toAP EAMCET 2021 Easy
More PYQs from AP EAMCET
- If one solution of the equation \(\cos \mathrm{h} x-\frac{4}{5} \sin \mathrm{h} x=1\) is \(x=0\), then the other solution is \(\mathrm{x}=\)AP EAMCET 2022 Medium
- If the average translational kinetic energy of a molecule in a gas is equal to the kinetic energy of an electron accelerating from rest through \(10 \mathrm{~V}\), then the temperature of the gas molecule is
\[
\left(\text { Boltzmann constant }=1.38 \times 10^{-23} \mathrm{JK}^{-1}\right)
\]AP EAMCET 2017 Easy - If \(a d-b c \neq 0\), then the area (in sq. units) of the parallelogram formed by the lines \(a x+b y+2=0, a x+b y+5=0, c x+d y+3=0\) and \(c x+d y+7=0\) isAP EAMCET 2018 Hard
- Which of the following vector is equally inclined with the coordinate axes?AP EAMCET 2021 Easy
- If \(S \equiv 2 x^2+2 y^2-8 x+8 y-7=0\) is the circle passing through the points of intersection of the circles \(x^2+y^2+\) \(\mathrm{kx}-\mathrm{ky}+1=0\) and \(\mathrm{x}^2+\mathrm{y}^2-\mathrm{kx}+\mathrm{ky}-2=0\), then the length of the tangent drawn from the point \((k, k)\) to the circle \(\mathrm{S}\) isAP EAMCET 2023 Hard
- Find the value of \(m+n\), if the circumference of the circle \(x^2+y^2+8 x+8 y-m=0\) is bisected by the circle \(x^2+y^2-2 x+4 y+n=0\).AP EAMCET 2020 Medium