Question:
Let A = {x, y, z, u} and B = {a, b}. A function f : A → B is selected randomly. The probability that the function is an onto function is
Let A = {x, y, z, u} and B = {a, b}. A function f : A → B is selected randomly. The probability that the function is an onto function is
Show Hint
When calculating the probability of selecting an onto function, use the principle of inclusion-exclusion. First, calculate the total number of functions, then subtract the cases where the function is not onto, and finally divide by the total number of functions to find the probability.
Updated On: Apr 6, 2025
- \(\frac{5}{8}\)
- \(\frac{7}{8}\)
- \(\frac{1}{35}\)
- \(\frac{1}{8}\)
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Was this answer helpful?
3
13
Top Questions on Probability
- A box contains 5 red balls and 3 blue balls. If two balls are drawn randomly without replacement, what is the probability that one of the balls is red and the other is blue?
- BITSAT - 2025
- Mathematics
- Probability
- A bag contains 5 red, 3 blue, and 2 green balls. If two balls are drawn at random without replacement, what is the probability that both are red?
- BITSAT - 2025
- Mathematics
- Probability
- There are 20 girls and 15 boys in a class. 1/5 of the girls and 2/5 of the boys bring their lunch from home. One of the students who brings lunch from home is chosen at random. Find the probability that the student is a girl.
- If the odds in favour of an event A are 3 : 4 and the odds against another independent event B are 7 : 4, find the probability that at least one of the events will happen.
A shop selling electronic items sells smartphones of only three reputed companies A, B, and C because chances of their manufacturing a defective smartphone are only 5%, 4%, and 2% respectively. In his inventory, he has 25% smartphones from company A, 35% smartphones from company B, and 40% smartphones from company C.
A person buys a smartphone from this shop(i) Find the probability that it was defective.
View More Questions
Questions Asked in KCET exam
- If the number of terms in the binomial expansion of \((2x + 3)^n\) is 22, then the value of \(n\) is:
- KCET - 2025
- Binomial theorem
- Ethyl alcohol is heated with concentrated sulphuric acid at 413 K (140°C). The major product formed is
- KCET - 2025
- Organic Chemistry
- A body of mass 0.25 kg travels along a straight line from \( x = 0 \) to \( x = 2 \, \text{m} \) with a speed \( v = k x^2 \) where \( k = 2 \, \text{m}^{-1} \). The work done by the net force during this displacement is
- KCET - 2025
- Elastic and inelastic collisions
- A square loop of side 2 m lies in the Y-Z plane in a region having a magnetic field \(\mathbf{B} = (5 \hat{i} - 3 \hat{j} - 4 \hat{k}) \, \text{T}\). The magnitude of magnetic flux through the square loop is
- KCET - 2025
- Magnetic Field
- If 'a' and 'b' are the order and degree respectively of the differentiable equation \[ \frac{d^2 y}{dx^2} + \left(\frac{dy}{dx}\right)^3 + x^4 = 0, \quad \text{then} \, a - b = \, \_ \_ \]
- KCET - 2025
- Differential equations
View More Questions