20 Dec 2020: UPSC Exam Comprehensive News Analysis 20 Dec 2020 CNA:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related SOCIAL ISSUES 1. ‘Any exploitation of Sentinel Island will wipe out... View Article
If Four Dice Are Thrown Together The Probability That The Sum Of The Number Appearing On Them Is 13 Is 1) 35/324 2) 5/216 3) 11/216 4) 11/432 Solution: Option (1) 35/324 If 4 dice are thrown, total sample space = 1296 Use permutations... View Article
A Problem Of Mathematics Is Given To Three Students Whose Chances Of Solving The Problem Are 13 14 And 15 Respectively The Probability That 1) 2/3 2) 3/4 3) 4/5 4) 3/5 Solution: Option (4) 3/5 Given that, P(A) = 1/3, P(B) = 1/4, P(C) = 1/5 So, P(A’) = 2/3 P(B’) = 3/4... View Article
Two Dice Are Thrown Simultaneously What Is The Probability Of Obtaining A Multiple Of 2 On One Of The Them And A Multiple Of 3 On The Other 1) 5/36 2) 11/36 3) 1/6 4) ⅓ Solution: Option (3) 1/6 If two dice are rolled, total number of sample space = 36 Let A be the event... View Article
From 10000 Lottery Tickets Numbered From 1 To 10000 One Ticket Is Drawn At Random What Is The Probability That The Number Marked On 1) 1/100 2) 1/50 3) 1/20 4) 1/10 Solution: Option (3) 1/20 Total number of lottery tickets = 10000 Favourable cases = {20, 40, 60, 80, ….,... View Article
The Probability Of Happening An Event A Is One Trial Is 04 The Probability That The Event A Happens At Least Once In Three Independent Trials Is 1) 0.936 2) 0.784 3) 0.904 4) 0.216 Solution: Option (2) 0. 784 Given: The probability that event happens = 0.4 Thus, the... View Article
The Probability Of Sure Event Is 1) 0 2) 1 3) 2 4) ½ Solution: Option (2) 1 The sure event is defined as an event which always happens. Hence,the probability of a... View Article
A Number Is Chosen At Random Among The First 120 Natural Numbers The Probability Of The Number Chosen To Be A Multiple Of 5 Or 15 Is 1) 1/5 2) 1/8 3) 1/24 4) ⅙ Solution: Option (A) 1/5 Given that, there are 120 natural numbers and one number is chosen at random.... View Article
Two Dice Are Thrown The Probability That The Sum Of The Number Appearing Is More Than 10 Is 1) 1/18 2) 1/12 3) 1/6 4) None of these Solution: Option (2) 1/12 If two dice are thrown, the total number of sample space = 36.... View Article
Three Letters Are To Be Sent To Different Persons And Addresses On The Three Envelopes Are Also Written Without Looking At The Addresses 1) 1/27 2) 1/9 3) 4/27 4) 1/6 Solution: Option (4) ⅙ Given that, Number of letters = 3 and number of envelopes = 3 Hence, the total... View Article
A Box Contains 6 Nails And 10 Nuts Half Of The Nails And Half Of The Nuts Are Rusted If One Item Is Chosen At Random What Is The Probability That 1) 3/16 2) 5/16 3) 11/16 4) 14/16 Solution: Option (3) 11/16 Let A be the event of choosing the item is rusted, and B be the event... View Article
A Dice Is Thrown Twice The Probability Of Getting 4 5 Or 6 In The First Throw And 1 2 3 Or 4 In The Second Throw Is 1) 1 2) 1/3 3) 7/36 4) None of these Solution: Option (2) ⅓ The probability of getting 4, 5, or 6 in first throw = 3/6 = ½ The... View Article
From A Pack Of 52 Cards Two Are Drawn With Replacement The Probability That The First Is A Diamond And The Second Is A King Is 1) 1/26 2) 17/2704 3) 1/52 4) None of these Solution: option (3) 1/52 In a pack, there are 52 cards. The probability of getting... View Article
A Coin Is Tossed Twice The Probability Of Getting Head Both The Times Is 1) 1/2 2) 1/4 3) 3/4 4) 1 Solution: Option (2) ¼ If a coin is tossed twice, the total number of sample space = 4 = {HH, HT, TH, TT}... View Article
A Coin Is Tossed And A Dice Is Rolled The Probability That The Coin Shows The Head And The Dice Shows 6 Is 1) 1/8 2) 1/12 3) 1/2 4) 1 Solution: Option (2) 1/12 Let A be the event of tossing a coin and B be the event of rolling a dice. The... View Article
Two Cards Are Drawn One By One At Random From A Pack Of 52 Cards The Probability That Both Of Them Are King Is 1) 2/13 2) 1/169 3) 1/221 4) 30/221 Solution: Option (2) 1/221 Total number of cards in a pack = 52 Total number of kings in a pack... View Article
If A Dice Is Thrown Twice Then The Probability Of Getting 1 In The First Throw Only Is 1) 1/36 2) 3/36 3) 5/36 4) ⅙ Solution: Option (3) 5/36 The probability of getting 1 in the first throw, P(X) = ⅙ The probability of... View Article
There Are Two Children In A Family The Probability That Both Of Them Are Boys Is 1) 1/2 2) 1/3 3) 1/4 4) None of these Solution: Option (3) ¼ Let “B” represent the boy and “G” represent the girl Total cases =... View Article
The Probability That A Number Selected At Random From The Numbers 1 2 3 To 99 100 Is A Prime Is 1) 0.4 2) 0.25 3) 0.45 4) 0.43 Solution: Option (2) 0.25 Total cases, n(S) = 100 Let A be the event of getting a prime number from... View Article
A Book Contains 1000 Pages Numbered Consecutively The Probability That The Sum Of The Digits Of The Marked Number Of A Page Is 9 Is 1) 55/1000 2) 0 3) 33/1000 4) 44/1000 Solution: Option (1) 55/1000 Total number of pages in a book = 1000 Favourable outcomes: One... View Article
