Probability is an important topic in the Mathematics section in VITEEE exam. Practising this topic will increase your score overall and make your conceptual grip on VITEEE exam stronger.
This article gives you a full set of VITEEE PYQs for Probability with explanations for effective preparation. Practice of VITEEE Mathematics PYQs including Probability questions regularly will improve accuracy, speed, and confidence in the VITEEE 2026 exam.
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VITEEE PYQs for Probability with Solutions
1.
What was the ratio between the ages of P and Q four years ago? I. The ratio between the present ages of P and Q is 3 : 4. II. The ratio between the present ages of Q and R is 4 : 5.- if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
- if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
- if the data in both the statements I and II together are not sufficient to answer the question.
- if the data in both the statements I and II together are necessary to answer the question.
2.
If the vertex of a parabola is \( (2, -1) \) and the equation of its directrix is \[ 4x - 3y = 21, \] then the length of its latus rectum is:- 2
- 8
- 12
- 16
3.
What is the percentage drop in the production of Ludo from 1992 to 1994?- \( 30 \)
- \( 50 \)
- \( 20 \)
- \( 10 \)
4.
In four schools \( B_1, B_2, B_3, B_4 \), the number of students is given as follows: \[ B_1 = 12, \quad B_2 = 20, \quad B_3 = 13, \quad B_4 = 17 \] A student is selected at random from any of the schools. The probability that the student is from school \( B_2 \) is:- \( \frac{6}{31} \)
- \( \frac{10}{31} \)
- \( \frac{13}{62} \)
- \( \frac{17}{62} \)
5.
The variance of the data \( 2, 4, 6, 8, 10 \) is:
- 8
- 7
- 6
- None of these
6.
How many students have got 60% or more marks in all the subjects?
- One
- Two
- Three
- Four
7.
The particular solution of \[ \log \frac{dy}{dx} = 3x + 4y, \quad y(0) = 0 \] is:- \( e^{3x} + 3e^{-4y} = 4 \)
- \( 4e^{3x} - 3e^{-4y} = 3 \)
- \( 3e^{3x} + 4e^{4y} = 7 \)
- \( 4e^{3x} + 3e^{-4y} = 7 \)
8.
An urn contains five balls. Two balls are drawn and found to be white. The probability that all the balls are white is:- \( \frac{1}{10} \)
- \( \frac{3}{10} \)
- \( \frac{3}{5} \)
- \( \frac{1}{2} \)
9.
If \( f(x) \) defined as given below, is continuous on \( R \), then the value of \( a + b \) is equal to: % Function Definition \[f(x) = \begin{cases} \sin x, & x \leq 0 \\ x^2 + a, & 0<x<1 \\ bx + 3, & 1 \leq x \leq 3 \\ -3, & x>3 \end{cases}\]- 0
- 2
- -2
- 3
10.
Eccentricity of ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ if it passes through point $(9, 5)$ and $(12, 4)$ is:- \( \sqrt{\frac{3}{4}} \)
- \( \sqrt{\frac{4}{5}} \)
- \( \sqrt{\frac{5}{6}} \)
- \( \sqrt{\frac{6}{7}} \)
11.
Find the probability of getting the sum as a perfect square number when two dice are thrown together.- \( \frac{5}{12} \)
- \( \frac{7}{18} \)
- \( \frac{7}{36} \)
- None of these
12.
The total number of 3-digit numbers, the sum of whose digits is even, is equal to:- 450
- 350
- 250
- 325
13.
The angle between the two lines: \[ \frac{x + 1}{2} = \frac{y + 3}{2} = \frac{z - 4}{-1} \] \[ \frac{x - 4}{1} = \frac{y + 4}{2} = \frac{z + 1}{2} \] is:- \( \cos^{-1} \frac{1}{9} \)
- \( \cos^{-1} \frac{4}{9} \)
- \( \cos^{-1} \frac{2}{9} \)
- \( \cos^{-1} \frac{3}{9} \)
14.
What was the cost price of the suitcase purchased by Samir? I. Samir got a 25 percent concession on the labelled price. II. Samir sold the suitcase for Rs. 2000 with 25 percent profit on the labelled price.
- if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
- if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
- if the data in both the statements I and II together are not sufficient to answer the question.
- if the data in both the statements I and II together are necessary to answer the question.
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