KCET · Maths · Determinants
A box contains \( 6 \) red marbles numbers from \( 1 \) through \( 6 \) and \( 4 \) white marbles \( 12 \) through \( 15 . \)
Find the probability that a marble drawn 'at random' is white and odd numbered.
- A \( \frac{1}{7} \)
- B \( \frac{1}{5} \)
- C \( \frac{1}{9} \)
- D \( \frac{1}{6} \)
Answer & Solution
Correct Answer
(B) \( \frac{1}{5} \)
Step-by-step Solution
Detailed explanation
Number of red marbles are \(6(1\) to 6\()\), number of white marbles are \(4(12\) to 15\()\). So,
R1, R2, R3, R4, R5, R6, W12, W13, W14, W15
Total number of marbles are 10.
We have, white + odd = W13, W15
So, required probability is
\(\frac{2}{10}=\frac{1}{5}\)
R1, R2, R3, R4, R5, R6, W12, W13, W14, W15
Total number of marbles are 10.
We have, white + odd = W13, W15
So, required probability is
\(\frac{2}{10}=\frac{1}{5}\)
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 \(\mathbf{a}+2 \mathbf{b}+3 \mathbf{c}=0\) and \((\mathbf{a} \times \mathbf{b})+(\mathbf{b} \times \mathbf{c})+(\mathbf{c} \times \mathbf{a})=\lambda(\mathbf{b} \times \mathbf{c})\), then the value of \(\lambda\) is equal toKCET 2023 Easy
- If \(A\) and \(B\) are two square matrices of the same order such that \(A B=B\) and \(B A=A\), then \(\mathrm{A}^{2}+\mathrm{B}^{2}\) is always equal toKCET 2010 Medium
- If \( { }^{n} C_{12}={ }^{n} C_{8} \), then \( \mathrm{n} \) is equal toKCET 2017 Hard
- Consider the following statements:
Statement (I): In a LPP, the objective function is always linear.
Statement (II): In a LPP, the linear inequalities on variables are called constraints.
Which of the following is correct?KCET 2025 Easy - The locus of the point of intersection of perpendicular tangents to the ellipse is calledKCET 2012 Hard
- If \( \tan ^{-1} x+\tan ^{-1} y=\frac{4 \pi}{5} \), then \( \cot ^{-1} x+\cot ^{-1} y \) is equal toKCET 2017 Medium
More PYQs from KCET
- During a field trip a student observed a marine organism with worm-like body. The cylindrical body was division into proboscis, collar and a long trunk. The organism may be __________KCET 2025 Easy
- If \(n(A)=2\) and total number of possible relations from Set A to set B is 1024 , then \(n(B)\) isKCET 2020 Medium
- Two fixed charges A and B of \(5 \mu \mathrm{C}\) each are separated by a distance of \(6 \mathrm{~m}\). \(\mathrm{C}\) is the mid point of the line joining \(A\) and \(B\). A charge \(Q\) of \(-5 \mu \mathrm{C}\) is shot perpendicular to the line joining A and \(B\) through \(C\) with a kinetic energy of \(0.06 \mathrm{~J}\). The charge \(\mathrm{Q}\) comes to rest at a point D. The distance \(C D\) isKCET 2012 Hard
- The type of linkage present between nucleotides isKCET 2024 Medium
- In the female reproductive system, a tiny finger like structure which lies at the upper junction of the two labia minora above the urethral opening is calledKCET 2023 Medium
- The value of determinant \( \left|\begin{array}{ccc}a-b & b+c & a \\ b-a & c+a & b \\ c-a & a+b & c\end{array}\right| \) isKCET 2018 Hard