KCET · Maths · Probability
Let \(A=\{x, y, z, u\}\) and \(B=\{a, b\}\). A function \(f: A \rightarrow B\) is selected randomly. The probability that the function is an onto function is
- A \(\frac{1}{8}\)
- B \(\frac{5}{8}\)
- C \(\frac{1}{35}\)
- D \(\frac{7}{8}\)
Answer & Solution
Correct Answer
(D) \(\frac{7}{8}\)
Step-by-step Solution
Detailed explanation
Total cases \(=2 \times 2 \times 2 \times 2=16\)
We know that
Probability of onto \(=1-(\) Probability of not onto)
Probability \(=\frac{\text { Number of favorable event }}{\text { Total event }}\)
Probability of onto \(=1-\frac{2}{16}=\frac{14}{16}=\frac{7}{8}\)
We know that
Probability of onto \(=1-(\) Probability of not onto)
Probability \(=\frac{\text { Number of favorable event }}{\text { Total event }}\)
Probability of onto \(=1-\frac{2}{16}=\frac{14}{16}=\frac{7}{8}\)
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
- \(\sec ^2\left(\tan ^{-1} 2\right)+\operatorname{cosec}^2\left(\cot ^{-1} 3\right)=\)KCET 2025 Easy
- The shaded region in the figure is the solution set of the inequations
KCET 2019 Easy - The simplified form of \( i^{n}+i^{n+1}+i^{n+2}+i^{n+3} \) isKCET 2016 Easy
- In a group \((G, *)\), for some element \(a\) of \(G\), if \(a^{2}=e\), where \(e\) is the identity element, thenKCET 2013 Medium
- If \(\vec{a} = \hat{i} + \hat{j} + \hat{k}, \vec{b} = \hat{j} - \hat{k}\) and \(\vec{a} \times \vec{c} = \vec{b}, \vec{a} \cdot \vec{c} = 3\), then \(\vec{c}\) isKCET 2026 Medium
- \(\left|\begin{array}{ccc}\sin \alpha & \cos \alpha & \sin (\alpha+\delta) \\ \sin \beta & \cos \beta & \sin (\beta+\delta) \\ \sin \gamma & \cos \gamma & \sin (\gamma+\delta)\end{array}\right|\) is equal toKCET 2011 Medium
More PYQs from KCET
- The variations of kinetic energy \(\mathrm{K}(\mathrm{x})\), potential energy \(\mathrm{U}(\mathrm{x})\) and total energy as a function of displacement of a particle in SHM is as shown in the figure. The value of \(\left|x_0\right|\) is
KCET 2025 Medium - Let \(\boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R}\) be defined by \(f(x)=3 x^2-5\) and \(g: R \rightarrow R\) by \(g(x)=\frac{x}{x^2+1}\), then \(g \circ f\) isKCET 2023 Easy
- The general name of the compound formed by the reaction between aldehyde and alcohol isKCET 2022 Easy
- The time required for the light to pass through a glass slab (refractive index \(=1.5\) ) of thickness \(4 \mathrm{~mm}\) is
( \(c=3 \times 10^{8} \mathrm{~ms}^{-1}\), speed of light in free space)KCET 2011 Medium - The arrangement of following compounds :
i. bromomethane
ii. bromofonn
iii. chloromethane
iv. dibromomethane
In the increasing order of their boiling point isKCET 2015 Medium - In the reaction \( \mathrm{B}(\mathrm{OH})_{3}+2 \mathrm{H}_{2} \mathrm{O} \rightarrow\left[\mathrm{B}(\mathrm{OH})_{4}\right]^{-}+\mathrm{H}_{3} \mathrm{O}^{+} \)
\( \mathrm{B}(\mathrm{OH})_{3} \) functions asKCET 2019 Easy