A Box Contains 2 Black 4 White And 3 Red Balls One Ball Is Drawn At Random From The Box And Kept Aside From The Remaining Balls In The Box 1) 1/1260 2) 1/7560 3) 1/126 4) None of these Solution: Option (1) 1/1260 As the selecting balls are in the sequence of 2 black, 4... View Article
A Draws Two Cards With Replacement From A Pack Of 52 Cards And B Throws A Pair Of Dice What Is The Chance That A Gets Both Cards Of Same 1) 1/144 2) 1/4 3) 5/144 4) 7/144 Solution: Option (3) 5/144 Given that, ‘A’ draws two cards with replacement from a pack of 52... View Article
A Bag Contains 3 Black And 4 White Balls Two Balls Are Drawn One By One At Random Without Replacement The Probability That The Second Drawn 1) 4/49 2) 1/7 3) 4/7 4) 12/49 Solution: Option (3) 4/7 Total number of balls in a bag = 3+4 = 7 The second white ball can be drawn... View Article
In Order To Get At Least Once A Head With Probability Gt 09 The Minimum Number Of Times A Coin Needs To Be Tossed Is 1) 3 2) 4 3) 5 4) None of these Solution: Option (2) 4 We know that the probability of getting head = ½ The probability of getting... View Article
If Pa Equals 065 Pb Equals 015 Then Pa Bar Pb Bar Equals 1) 1.5 2) 1.2 3) 0.8 4) None of these Solution: Option (2) 1.2 Given that P(A) = 0.65, P(B) = 0.15 Therefore, P(A’) = 1- P(A) = 1-... View Article
Seven Chits Are Numbered 1 To 7 Three Are Drawn One By One With Replacement The Probability That The Least Number On Any Selected Chit Is 5 1) 1-(2/7)4 2) 4(2/7)4 3) (3/7)3 4) None of these Solution: option (3) (3/7)3 Total number of chits = 7 The event that the least... View Article
A Card Is Drawn From A Pack Of 100 Cards Numbered 1 To 100 The Probability Of Drawing A Number Which Is A Square Is 1) 1/5 2) 2/5 3) 1/10 4) None of these Solution: Option (3) 1/10 Total number of cards = 100 Favourable cases =... View Article
A Bag X Contains 3 White Balls And 2 Black Balls And Another Bag Y Contains 2 White Balls And 4 Black Balls The Probability That The Ball Is White 1) 3/5 2) 7/15 3) 1/2 4) None of these Solution: Option (2) 7/15 Let A be the event of selecting the bag X and B be the event of... View Article
A Bag Contains 3 White 3 Black And 2 Red Balls One By One Three Balls Are Drawn Without Replacing Them The Probability That The Third Ball Is Red 1) 1/2 2) 1/3 3) 2/3 4) 1/4 Solution: Option (4) ¼ Let W be the white ball, B be the black ball, R be the red ball. The probability... View Article
One Card Is Drawn From A Pack Of 52 Cards The Probability That It Is A King Or Diamond Is 1) 1/26 2) 3/26 3) 4/13 4) 3/13 Solution: Option (3) 4/13 Total number of cards = 52 Favourable cards = 13+4 - 1 = 16 Hence, the... View Article
A Determinant Is Chosen At Random From The Set Of All Determinants Of Order 2 With Elements 0 Or 1 Only The Probability That Value Of The 1) 3/16 2) 3/8 3) 1/4 4) None of these Solution: Option (1) 3/16 Given that, the determinant of is of the order of 2 with elements 0 or 1... View Article
In A Throw Of A Dice The Probability Of Getting One In Even Number Of Throw Is 1) 5/36 2) 5/11 3) 6/11 4) 1/6 Solution: Option (2) 5/11 The probability of getting one in second throw = (5/6)(1/6) The... View Article
A Bag Contains 19 Tickets Numbered From 1 To 19 A Ticket Is Drawn And Then Another Ticket Is Drawn Without Replacement The Probability That 1) 9/19 2) 8/18 3) 9/18 4) 4/19 Solution: Option (4) 4/19 Total number of tickets = 19 The probability that the ticket will show an... View Article
In A Single Throw Of Two Dice The Probability Of Obtaining A Total Of 7 Or 9 Is 1) 5/18 2) 1/6 3) 1/9 4) None of these Solution: Option (1) 5/18 If two dice are rolled, the total number of sample space = 36 The... View Article
The Probability Of A B And C Solving A Problem Are 13 27 38 Respectively If All The Three Try To Solve The Problem Simultaneously The Probability 1) 25/168 2) 25/56 3) 20/168 4) 30/168 Solution: Option (2) 25/56 Let P(A) be the probability that A solves the problem = â…“ P(B) be... View Article
A Bag Contains 5 White 7 Red And 8 Black Balls If Four Balls Are Drawn One By One Without Replacement What Is The Probability That All Are White 1) 1/969 2) 1/380 3) 5/20 4) None of these Solution: Option (1) 1/969 Total number of balls in a bag = 5+7+8 = 20 balls Probability... View Article
A Man And His Wife Appear For An Interview For Two Vacancies In The Same Posts The Probability Of The Husbands Selection Is 17 And That Of 1) 1/7 2) 2/7 3) 3/7 4) None of these Solution: Option (2) 2/7 Let X be the event that the husband is selected and Y be the event... View Article
A Card Is Drawn At Random From A Well Shuffled Pack Of 52 Cards The Probability Of Getting A Two Of Heart Or Two Of Diamonds Is 1) 1/26 2) 2/17 3) 1/13 4) None of these Solution: Option (2) 2/17 Total number of cards = 52 There are 13 hearts and 13 diamonds... View Article
A Locker Can Be Opened By Dialing A Fixed Three Digit Code Between 000 And 999 A Stranger Who Does Not Know The Code Tries To Open 1) k/999 2) k/1000 3) (k-1)/1000 4) None of these Solution: Option (2) k/1000 Let A be the event that the stranger succeeds to open... View Article
The Event A Is Independent Of Itself If And Only If Pa Equals 1) 0 2) 1 3) 0, 1 4) None of these Solution: Option (3) 0, 1 The event A is said to be independent of itself if and only if P(A) = 1... View Article
