﻿ Engineering Entrance Exam Question and Answers | Probability - Zigya

## Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

## Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

## Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

# Probability

#### Multiple Choice Questions

11.

Out of 7 constants and 4 vowels, words are formed each having 3 constants 2 vowels. The number of such words that can be formed is

• 210

• 25200

• 2520

• 302400

12.

Let A and B be two events such that  then

• A and B are independent

• A and B are mutually exclusive

13.

If

• 10

• 7

• 9

• 8

14.

In a group of 14 males and 6 females. 8 and 3 of the males and females, respectively are aged above 40 yr. The probability that a person selected at random from the group is aged above 40 yr given that the selected person is a female, is

• $\frac{2}{7}$

• $\frac{1}{2}$

• $\frac{1}{4}$

• $\frac{5}{6}$

15.

In a certain town, 60% of the families own a car, 30% own a house and 20% own both car and house. If a family is randomly chosen, then what is the probability that this family owns a car or a house but not both?

• 0.5

• 0.7

• 0.1

• 0.9

16.

If the letters of the word 'PROBABILITY' are written down at random in a row, then probability that two B's are together, is

• $\frac{2}{11}$

• $\frac{10}{11}$

• $\frac{3}{11}$

• $\frac{6}{11}$

17.

A person goes to office by car, scooter, bus and train, probability of which are 1/7, 3/7, 2/7 and 1/7, respectively. Probability that he reaches office late, if he takes car, scooter, bus or train is 2/9, 1/9, 4/9, and 1/9, respectively. Given that he reached office in time, the probability that he travelled by a car, is

• 1/7

• 2/7

• 3/7

• 4/7

18.

Ram is visiting a friend. Ram knows that his friend has 2 children and 1 of them is a boy. Assuming that a child is equally likely to be a boy or a girl, then the probability that the other child is a girl, is

• 1/2

• 1/3

• 2/3

• 7/10

19.

Out of 7 consonants and 4 vowels, the number of words (not necessarily meaningful) that can be made, each consisting of 3 consonants and 2 vowels is,

• 24800

• 25100

• 25200

• 25400

20.

A fair six-faced die is rolled 12 times. The probability that each face turns up twice is equal to

• $\frac{{2}^{12}}{{2}^{6}{6}^{12}}$

• $\frac{12!}{{2}^{6}{6}^{12}}$

• $\frac{12!}{{6}^{2}{6}^{12}}$