A Bag Contains 6 Red 5 White And 4 Black Balls Two Balls Are Drawn The Probability That None Of Them Is Red Is 1) 12/35 2) 6/35 3) 4/35 4) None of these Solution: Option (1) 12/35 Total number of balls = 15 If two balls are drawn, then the... View Article
A Bag Contains Tickets Numbered From 1 And 20 Two Tickets Are Drawn The Probability That Both The Numbers Are Prime Is 1) 14/95 2) 7/95 3) 1/95 4) None of these Solution: Option (1) 14/95 Total number of tickets = 20 If two tickets are drawn, the... View Article
N Cadets Have To Stand In A Row If All Possible Permutations Are Equally Likely Then The Probability That Two Particular Cadets Stand Side By Side 1) 2/n 2) 1/n 3) 2/(n-1)! 4) None of these Solution: Option (1) 2/n We can arrange n cadets in n! Ways. Total cases = n!... View Article
Two Persons Each Make A Single Throw With A Die The Probability They Get Equal Value Is P1 Four Persons Each Make A Single Throw And 1) p1 = p2 2) p1 < p2 3) p1 > p2 4) None of these Solution: Option (3) p1 > p2 Finding p1: The probability that both the... View Article
An Ordinary Cube Has Four Blank Faces One Face Marked 2 Another Marked 3 Then The Probability Of Obtaining A Total Of Exactly 12 In 5 Throws Is 1) 5/1296 2) 5/1944 3) 5/2592 4) None of these Solution: Option (3) 5/2592 Given that, a cube has 4 blank faces, one face marked as... View Article
There Are N Different Object 1 2 3 N Distributed At Random In N Places Marked 1 2 3 N The Probability That At Least Three Of The Objects 1) 1/6 2) 5/6 3) 1/3 4) None of these Solution: Option (1) ? Let Ai be the event that the ith object will occupy the nth place For... View Article
Word University Is Arranged Randomly Then The Probability That Both I Does Not Come Together Is 1) 3/5 2) 2/5 3) 4/5 4) 1/5 Solution: Option (3) 4/5 Total cases = 10!/2! Total ways that the letter “I” come together = 9! The... View Article
From A Pack Of Playing Cards Three Cards Are Drawn Simultaneously The Probability That These Are One King One Queen And One Jack Is 1) 64/5525 2) 16/5525 3) 128/5525 4) 64/625 Solution: Option (2) 16/5525 Total number of cards = 52. Total cases = 52C3 In a... View Article
A Three Digit Number Is Formed By Using Numbers 1 2 3 And 4 The Probability That The Number Is Divisible By 3 Is 1) 2/3 2) 2/7 3) 1/2 4) 3/4 Solution: Option (3) ½. Total ways to form 3 digit numbers using 1, 2, 3 and 4 = 4P3 = 4! = 24 ways. If... View Article
A Committee Has To Be Made Of 5 Members From 6 Men And 4 Women The Probability That At Least One Woman Is Present In Committee Is 1) 1/42 2) 41/42 3) 2/63 4) 1/7 Solution: Option (2) 41/42 Total cases = 4C1. 6C4 + 4C2. 6C3 + 4C3. 6C2+ 4C4. 6C1 +6C5 = 60+... View Article
A Bag Contains 8 Black And 7 White Balls Two Balls Are Drawn At Random Then For Which The Probability Is More 1) Both balls are white 2) One ball is white and one is black 3) Both balls are black 4) All of the above are equals Solution: Option... View Article
In A Lottery 50 Tickets Are Sold In Which 14 Are Prizes A Man Bought 2 Tickets Then The Probability That The Man Win The Prize Is 1) 17/35 2) 18/35 3) 72/175 4) 13/175 Solution: Option (A) 17/35 Total number of tickets = 50 Hence, total cases = 50C2 Out of... View Article
The Probability Of Getting 4 Heads In 8 Throws Of A Coin Is 1) 1/2 2) 1/64 3) 8C4/8 4) 8C4/28 Solution: Option (4) 8C4/28 Total cases= 28 (As a coin is tossed 8 times) Favourable cases =... View Article
The Letters Of The Word Assassin Are Written Down At Random In A Row The Probability That No Two S Occur Together Is 1) 1/35 2) 1/14 3) 1/15 4) None of these Solution: Option (3) 1/14 In a word, “ASSASSIN”, apart from the letter S, there are 4 other... View Article
A Bag Contains 6 Red 4 White And 8 Blue Balls If Three Balls Are Drawn At Random Then The Probability That 2 Are White And 1 Is Red Is 1) 5/204 2) 7/102 3) 3/68 4) 1/13 Solution: Option (3) 3/68 Total number of balls = 18 balls Out of 18 balls, three balls are drawn... View Article
Suppose N Gte 3 Persons Are Sitting In A Row Two Of Them Are Selected At Random The Probability That They Are Not Together Is 1) 1-(2/n) 2) 2/(n-1) 3) 1-(1/n) 4) None of these Solution: Option (1) 1-(2/n) Total number of cases = nC2 Let A be the event... View Article
Fifteen Persons Among Whom Are A And B Sit Down At Random At A Round Table The Probability That There Are 4 Persons Between A And B Is 1) 1/3 2) 2/3 3) 2/7 4) 1/7 Solution: Option (4) 1/7 Total cases = (15-1)! = 14! If 4 persons are between A and B, then the total... View Article
A Word Consists Of 11 Letters In Which There Are 7 Consonants And 4 Vowels If 2 Letters Are Chosen At Random Then The Probability That All 1) 5/11 2) 21/55 3) 4/11 4) None of these Solution: Option (1) 21/55 Total cases = 11C2 Favourable cases = 7C2 Therefore the... View Article
From A Class Of 12 Girls And 18 Boys Two Students Are Chosen Randomly What Is The Probability That Both Of Them Are Girls 1) 22/145 2) 13/15 3) 1/18 4) None of these Solution: Option (1) 22/145 Total cases = 30C2 Favourable cases = 12C2 Hence, the... View Article
A Box Contains 25 Tickets Numbered 1 2 25 If Two Tickets Are Drawn At Random Then The Probability That The Product Of Their Numbers Is Even Is 1) 11/50 2) 13/50 3) 37/50 4) None of these Solution: Option (3) 37/50 Given that, the two tickets are drawn from 25 tickets. The... View Article