Mission IBPS Exam : Quant Quiz on Probability

1.In a bag, there are 3 red balls’ 5 green balls and 7 blue balls. One ball is picked up randomly. What is the probability that it is neither red nor blue?

(a)11/16

(b)5/16

(c)4/11

(d)3/7

(e)None of these

2.A bag has 12 balls of which 4 are green balls. Three balls are drawn at random from the bag, one after the other. The probability that all three are not-green balls is

(a)4⁄27

(b)14⁄55

(c)2⁄3

(d)(1⁄3 )^3

(e)None of these

3.In a class of 40 students with roll no. 3 to 42. A students is picked up to tell a joke. Find the probability that the roll number of the selected student is either a multiple of 4 or 7?

(a)11⁄42

(b)2⁄5

(c)3⁄7

(d)3⁄8

(e)None of these

4.The probability that a student will get a laptop is 2/3 and that of getting a tab is 5/9. If the probability of getting at least one application is 4/5 . What is the probability that he will get both is

(a)31/45

(b)14/45

(c)8/45

(d)11/45

(e)None of these

5..A box contains 5 brown and 4 white socks. A man takes out two socks. The probability that they are of the same color is

(a)1⁄6

(b)5⁄108

(c)5⁄18

(d)4⁄9

(e)None of these

6.A company CEO wants to visit four plants P, Q, R and S on an official trip. The probability that he visits Q just before R is

(a)1⁄4

(b)1⁄2

(c)3⁄4

(d)1⁄12

(e)None of these

7.There are 10 persons, including A and B. who stand in the form of a circle. If the arrangement of the persons is at random, them the probability that there are exactly 3 persons between A and B is

(a)1⁄9

(b)7⁄9

(c)2⁄9

(d)1⁄3

(e)None of these

8.A box contains 6 white balls and 7 black balls. Two balls are drawn at random. What is the probability that both are of same colour?

(a)5⁄13

(b)6⁄13

(c)7⁄13

(d)6⁄7

(e)None of these

9..The letters A, G, L, H, U are re arranged to form the word ‘LAUGH’. Find its probability.

(a)1/5^4

(b)1/24

(c)5!/5^4

(d)1/120

(e)None of these

10.If the probability that a boy of class X speaks truth is 7/8 and that of a girl of class X is 9/10 , then what is the probability that both will speak truth from class X?

(a)17⁄80

(b)63⁄80

(c)79⁄80

(d)1⁄5

(e)None of these

Answers with Explanation !!!!!!!!!