A Fair Coin Is Tossed N Times Let X Be The Number Of Times Head Is Observed If Px 4 Px 5 And Px 6 Are In Hp Then N Is Equal To 1) 7 2) 10 3) 14 4) None of these Solution: Option (4) None of these None of the values of “n” mentioned above will not satisfy the... View Article
One Hundred Identical Coins Each With Probability P Showing Up Heads Are Tossed Once If 0 P 1 The Probability Of Heads Showing On 50 Coins 1) 1/2 2) 49/101 3) 50/101 4) 51/101 Solution: Option (4) 51/101 Assume that x be the number of coins which shows head Let X be a... View Article
If From Each Of The Three Boxes Containing 3 White And 1 Black 2 White And 2 Black 1 White And 3 Black Balls One Ball Is Drawn At Random 1) 13/32 2) 1/4 3) 1/32 4) 3/16 Solution: Option (1) 13/32 The probability that two white and one black ball = P(W1W2B3) +P(W1B2W3)+... View Article
A Pack Of Playing Cards Was Found To Contain Only 51 Cards If The First 13 Cards Which Are Examined Are All Red Then The Probability 1) 1/3 2) 2/3 3) 1/2 4) 25C13/51C13 Solution: Option (2) ⅔ Let X be the event that the missing card is black, and Y be the event... View Article
Let P Denotes The Probability That A Man Aged X Years Will Die In A Year The Probability That Out Of N Men A1 A2 A3 An Each Aged X A1 1) 1/n [1-(1-p)n] 2) [1-(1-p)n] 3) [1/(n-1)] [1-(1-p)n] 4) None of these Solution: Option (1)1/n [1-(1-p)n] Given that, p be the probability... View Article
A Box Contains 100 Tickets Numbered 1 2 100 Two Tickets Are Chosen At Random It Is Given That The Maximum Number On The Two Chosen 1) ⅛ 2) 13/15 3) 1/7 4) None of these Solution: Option (4) None of these It is given that the maximum number on the two chosen... View Article
For The Three Events A B And C P Exactly One Of The Events A Or B Occurs Pexactly One Of The Events B Or C Occurs Pexactly One Of The Events 1) (3p+2p2)/2 2) (p+3p2)/4 3) (p+3p2)/2 4) (3p+2p2)/4 Solution: Option (1) (3p+2p2)/2 P (exactly one of the events A or B occurs) =... View Article
A Student Appears For Test I Ii And Iii The Student Is Successful Is He Passes Either In Test I And Ii Or Test I And Iii Probability That Student 1) p=1, q=0 2) p=⅔, q= 1/2 3) There are infinitely many values of p and q 4) All of the above Solution: Option (4) all of the above.... View Article
Two Dice Are Thrown Simultaneously The Probability That Sum Is Odd Or Less Than 7 Or Both Is 1) 2/3 2) 1/2 3) 3/4 4) ⅓ Solution: Option (3) ¾ The required probability = P(sum is odd) + P(sum less than 7) - P(both) P(odd)... View Article
A Pair Of Fair Dice Is Rolled Together Till A Sum Of Either 5 Or 7 Is Obtained Then The Probability That 5 Comes Before 7 Is 1) 1/5 2) 2/5 3) 4/5 4) None of these Solution: Option (2) ⅖ Let A be the event that the sum 5 occurs B be the event that the sum 7... View Article
If A Party Of N Persons Sit At A Round Table Then The Odds Against Two Specified Individuals Sitting Next To Each Other Are 1) 2:(n-3) 2) (n-3):2 3) (n-2):2 4) 2: (n-2) Solution: Option (2) (n-3):2 The number of ways, in which “n” number of persons sit in... View Article
A Five Digit Number Is Formed By Writing The Digits 1 2 3 4 5 In A Random Order Without Repetitionsprobability That Number Is Divisible By 4 Is 1) 3/5 2) 18/5 3) 1/5 4) 6/5 Solution: Option (3) 1/5 Total cases = 5! The number is divisible by 4, if the last two digits of the... View Article
Three Squares Of A Chess Board The Chosen At Random The Probability That Two Are Of One Color And One Of Another Is 1) 16/21 2) 8/21 3) 32/12 4) None of these Solution: Option (1) 16/21 Total number of cases = 64C3 Two squares of one colour and... View Article
Out Of 21 Tickets Marked With Numbers From 1 To 21 Three Are Drawn At Random The Chance That The Numbers On Then Are In Ap Is 1) 10/133 2) 9/133 3) 9/1330 4) None of these Solution: Option (1) 10/133 Total Ways = 21C3 If the common difference is 1, then... View Article
Three Six Faced Fair Dice Are Thrown Together The Probability That The Sum Of The Numbers Appearing On The Dice Is K 3 Lte K Lte 8 Is 1) [(k-1)(k-2)]/432 2) [k(k-1)]/432 3) k2/432 4) None of these Solution: Option (1) [(k-1)(k-2)]/432 If three dice are, the total... View Article
A And B Toss A Fair Coin Each Simultaneously 50 Times The Probability That Both Of Them Will Not Get Tail At The Same Toss Is 1) (¾)50 2) (2/7)50 3) (⅛)50 4) (⅞)50 Solution: Option (1) (¾)50 For each toss, there will be 4 choices. Choice 1: A gets head, B... View Article
A Man Alternately Tosses A Coin And Throws A Dice Beginning With The Coin The Probability That He Gets A Head In The Coin Before Gets A 5 Or 6 1) 3/4 2) 1/2 3) 1/3 4) None of these Solution: Option (1) ¾ The probability of getting head, p = ½ The probability of getting 5 or... View Article
Two Squares Are Chosen At Random On A Chessboard The Probability That They Have A Side In Common Is 1) 1/9 2) 2/7 3) 1/18 4) None of these Solution: Option (3) 1/18 Out of 64 squares, two squares are selected = 64C2 ways = 32 x 63... View Article
A Box Contains 15 Tickets Numbered 1 2 15 Seven Tickets Are Drawn Probability That The Greatest Number On A Drawn Ticket Is 9 Is 1) (9/10)6 2) (8/15)7 3) (⅗)7 4) None of these Solution: Option (3) (⅗)7 Total outcomes = 157 Favourable outcomes = 97 (Since,... View Article
There Are N Urns Each Containing N 1 Balls E Denotes The Event Of Choosing Even Numbered Urn Pui 1n Then The Value Of Pwe Is 1) (n+2)/(2n+1) 2) (n+2)/(2(n+1)) 3) n/(n+1) 4) 1/(n+1) Solution: Option (2) (n+2)/(2(n+1)) P(E) = P(u2) + P(u4) + …+P(un) = (1/n)+... View Article
