VITEEE 2021 | Probability Question 3 | Mathematics

A bag contains 50 tickets numbered $$1,2,3, ..., 50$$ of which five are drawn at random and arranged in ascending order of magnitude $$\left(x_1 < x_2 < x_3 < x_4< x_5\right)$$, then the probability that $x_3=30$ is

$$\frac{{ }^{29} \mathrm{C}_2 \times{ }^{20} \mathrm{C}_2}{{ }^{50} \mathrm{C}_5}$$

$$\frac{{ }^{30} C_1 \times{ }^{29} C_1}{{ }^{50} C_5}$$

$$\frac{{ }^5 C_1 \times{ }^{50} C_2}{{ }^{50} C_5}$$

$$\frac{{ }^{50} C_2 \times{ }^{29} C_1}{{ }^{50} C_5}$$

VITEEE 2021

MCQ (Single Correct Answer)

-0

Five persons entered the lift cabin on the ground floor of an eight floor house. Suppose that each of them independently and with equal probability can leave the cabin at any floor beginning with the first, then the probability of all 5 persons leaving at different floors is

$$\frac{{ }^7 P_5}{7^5}$$

$$\frac{7^5}{{ }^7 P_5}$$

$$\frac{6}{{ }^6 P_5}$$

$$\frac{{ }^5 P_5}{5^5}$$

VITEEE Subjects

Aptitude

Data Interpretation Data Sufficiency Syllogism Number Series Coding and Decoding Classification Series Completion Blood Relations Logical Deduction

English

Comprehension Ability Fill in the Blanks Vocabulary