TS EAMCET · Maths · Probability
If two cards are drawn at random simultaneously from a well shuffled pack of 52 playing cards, then the probability of getting a card having a composite number and a card having a number which is a multiple of 3 is
- A \(\frac{94}{663}\)
- B \(\frac{62}{663}\)
- C \(\frac{102}{663}\)
- D \(\frac{64}{663}\)
Answer & Solution
Correct Answer
(C) \(\frac{102}{663}\)
Step-by-step Solution
Detailed explanation
Total card \(=52\), No. of suit \(=4\) Card having composite number in each suit \(=4,6,8,9,10\) Card having multiple of 3 in each suit \(=3,6,9\) No. of cards having composite number in 4 suits \((4,8,10)=3 \times 4=12\) No. of cards having multiple of 3 in all suits (only 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
- \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) are three vectors such that \(|\mathbf{a}|=1,|\mathbf{b}|=2,|\mathbf{c}|=3 \quad\) and \(\mathbf{b}, \mathbf{c} \quad\) are perpendicular. If projection of \(\mathbf{b}\) on \(\mathbf{a}\) is the same as the projection of \(\mathbf{c}\) on \(\mathbf{a}\), then \(|\mathbf{a}-\mathbf{b}+\mathbf{c}|\) is equal toTS EAMCET 2016 Easy
- The length of the subtangent at any point \(\left(x_1, y_1\right)\) on the curve \(y=5^x\) isTS EAMCET 2011 Easy
- If \(f\) is a real function such that \(f(4)=4\) and \(f^{\prime}(4)=16\), then \(\lim _{x \rightarrow 4} \frac{\sqrt{f(x)}-2}{\sqrt{x}-2}=\)TS EAMCET 2018 Easy
- If \(\alpha\) is a multiple root of the equation \(x^5-6 x^4+11 x^3-\) \(2 x^2-12 x+8=0\) then \(3 \alpha^2-2 \alpha+1=\)TS EAMCET 2023 Medium
- If the area of a circle increases at the rate of \(\frac{1}{\sqrt{\pi}}\) sq. units/sec, then the rate (in units/sec) at which the perimeter of the circle changes, when perimeter is \(\sqrt{\pi}\) units, isTS EAMCET 2020 Easy
- If all the letters of the word 'HANDLE' are permuted in all possible ways and the words (with or without meaning) thus formed are arranged in dictionary order, then the rank of the word 'HELAND' isTS EAMCET 2025 Medium
More PYQs from TS EAMCET
- A metal disc of radius \(30 \mathrm{~cm}\) rotates with a constant angular velocity \(\omega=100 \mathrm{rad} / \mathrm{s}\) about its axis. Find the magnitude of potential difference between the centre and the rim of the disc of external uniform magnetic field of induction \(\mathrm{B}=4 \mathrm{mT}\) is directed perpendicular to the disc.TS EAMCET 2022 Medium
- \[ \int_0^2 \frac{x}{(2-x)^{\frac{3}{4}}} d x= \]TS EAMCET 2023 Medium
- \(\lim _{x \rightarrow 0} \frac{\left(2^x-1\right)(1+\sin x)^{\frac{2}{\sin x}}}{\log (1+2 x)}=\)TS EAMCET 2022 Medium
- The maximum interval in which the slopes of the tangents drawn to the curve \(y=x^4+5 x^3+9 x^2+6 x+2\) increase isTS EAMCET 2024 Easy
- A small ball is thrown at an angle \(45^{\circ}\) to the horizontal with an initial velocity of \(2 \sqrt{2} \mathrm{~m} / \mathrm{s}\). The magnitude of mean velocity averaged over the first \(2 \mathrm{~s}\) is [talse, acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^2\) ]TS EAMCET 2018 Easy
- Match the following:
The correct answer is:
TS EAMCET 2019 Easy