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 !!!!!!!!!
