If A Coin Be Tossed N Times Then Probability That The Head Comes Odd Times Is 1) 1/2 2) 1/2n 3) 1/(2n-1) 4) None of these Solution: Option (1) 1/2 If a coin is tossed “n” number of times, the total sample space = 2n.... View Article
If Any Four Numbers Are Selected And They Are Multiplied Then The Probability That Last Digit In The Product Will Be 1 3 5 Or 7 Is 1) 4/625 2) 18/625 3) 16/625 4) None of these Solution: Option (3) 16/625 Total number of sample space = {0, 1, 2, 3, 4, 5, 6, 7, 8,... View Article
If Two Dice Are Thrown Simultaneously Then Probability That 1 Comes On First Dice Is 1) 1/36 2) 5/36 3) 1/6 4) None of these Solution: Option (3) 1/6 Total number of sample space, if two dice are thrown = 36 The... View Article
In A College 25 Of The Boys And 10 Of The Girls Offer Mathematics The Girls Constitute 60 Of The Total Number Of Students If A Student Is Selected 1) 1/6 2) 3/8 3) 5/8 4) 5/6 Solution: Option (2) ? Assume that there are 100 students in a college. Total number of girls = 60% =... View Article
A Pair Of A Dice Thrown If 5 Appears On At Least One Of The Dice Then Probability That The Sum Is 10 Or Greater Is 1) 11/36 2) 2/9 3) 3/11 4) 1/12 Solution: Option (3) 3/11 If two dice are thrown, the total number of cases = 36. Favourable cases:... View Article
From A Pack Of 52 Cards Two Cards Are Drawn In Succession One By One Without Replacement The Probability That Both Are Aces Is 1) 2/13 2) 1/51 3) 1/221 4) 2/21 Solution: Option (4) 1/221 Total number of cards in a pack = 52 Total number of aces in a pack = 4... View Article
The Probability Of Choosing At Random A Number That Is Divisible By 6 Or 8 From Among 1 To 90 Is Equal To 1) 1/6 2) 1/30 3) 11/80 4) 23/90 Solution: Option (4) 23/90 Total number of cases = {1, 2, 3, …, 90} Favourable cases: Total... View Article
Suppose That A Die With Faces Marked 1 To 6 Is Loaded In Such A Manner That For K 1 2 3 6 The Probability Of The Face Marked K Turning 1) 1/2 2) 4/7 3) 2/5 4) 1/21 Solution: Option (1) 1/2 Total cases = {1, 2, 3, 4, 5, 6} = 6 Favourable cases = {2, 4, 6}= 3 The... View Article
A Probability That In A Year Of The 22nd Century Chosen At Random There Will Be 53 Sundays Is 1) 3/28 2) 2/28 3) 7/28 4) 5/28 Solution: Option (4) 5/28 The probability that leap year occurs in 100 year = 25/100 = ¼ Hence, the... View Article
A Coin Is Tossed 4 Times The Probability That At Least One Head Turns Up Is 1) 1/16 2) 2/16 3) 14/16 4) 15/16 Solution: Option (4) 15/16 If four coins are tossed, the total cases = 24 = 16 In a toss, the... View Article
A Binary Number Is Made Up Of 16 Bits The Probability Of An Incorrect Bit Appearing Is P And The Errors In Different Bits Are Independent Of One 1) p/16 2) p16 3) 16C1p16 4) 1-(1-p)16 Solution: Option (4) 1-(1-p)16. Given that, the probability of an incorrect bit = p Hence,... View Article
Two Integers Are Chosen At Random And Multiplied The Probability That The Product Is An Even Integer Is 1) 1/2 2) 2/3 3) 3/4 4) 4/5 Solution: Option (2) ? Given that, two integers are chosen at random. Total cases: If both integers... View Article
An Integer Is Chosen At Random And Squared The Probability That The Last Digit Of The Square Is 1 Or 5 Is 1) 2/10 2) 3/10 3) 4/10 4) 9/25 Solution: Option (2) 3/10 Sample space = {0,1, 2, 3, 4, 5, 6, 7, 8, 9} Total cases =10 The last... View Article
The Corners Of Regular Tetrahedrons Are Numbers 1 2 3 4 Three Tetrahedrons Are Tossed The Probability That The Sum Of Upward Corners Will Be 5 1) 5/24 2) 5/64 3) 3/32 4) 3/16 Solution: Option (3) 3/32 As, three tetrahedrons are tossed, the total cases = 43 = 64 The... View Article
The Sum Of Two Positive Numbers Is 100 The Probability That Their Product Is Greater Than 1000 Is 1) 7/9 2) 7/10 3) 2/5 4) None of these Solution: Option (1) 7/9 Assume that x and y be the two numbers Given that, x+y = 100 To... View Article
A Coin Is Tossed 3 Times By 2 Persons What Is The Probability That Both Get Equal Number Of Heads 1) 3/8 2) 1/9 3) 5/16 4) None of these Solution: Option (3) 5/16 Let us assume that X and Y are the two persons Let A be the number... View Article
A Fair Coin Is Tossed Repeatedly If Tail Appears On First Four Tosses Then The Probability Of Head Appearing On Fifth Toss Equals 1) 1/2 2) 1/32 3) 31/32 4) 1/5 Solution: Option (1) 1/2 If a coin is tossed, the probability of getting head = ½, and the... View Article
A Person Can Kill A Bird With Probability 34 He Tries 5 Times What Is The Probability That He May Not Kill The Bird 1) 243/1024 2) 781/1024 3) 1/1024 4) 1023/1024 Solution: Option (3) 1/1024 Given that, the probability that the person can kill the... View Article
A Bag Contains 30 Balls Numbered From 1 To 30 One Ball Is Drawn Randomly The Probability That The Number On The Ball Is Multiple Of 5 Or 7 Is 1) 1/2 2) 1/3 3) 2/3 4) 1/4 Solution: Option (2) 1/3 Total number of balls = 30 Let A be the event that the number on the ball is a... View Article
Two Dice Are Thrown Together The Probability That At Least One Will Show Its Digit 6 Is 1) 11/36 2) 36/11 3) 5/11 4) 1/6 Solution: Option (1) 11/36 If two dice are thrown, the total number of sample space = 36 The... View Article
