Latest Posts

Let Ebar Denote The Complement Of An Event E Let E F G Be Pairwise Independent Events With Pg Gt 0 And Pe Int F Int G 0 Then Pebar Int Fbar G Equals

1) P(E’)+P(F’) 2) P(E’)-P(F’) 3) P(E’) -P(F) 4) P(E) – P(F’) Solution: Option (3) P(E’) -P(F) P(E’∩F’|G) = P(E’∩F’∩G)/P(G) =... View Article

India Plays Two Matches Each With West Indies And Australia In Any Match The Probabilities Of India Getting Point 0 1 And 2 Are 045 005

1) 0.8750 2) 0.0875 3) 0.0625 4) 0.0250 Solution: Option (2) 0.0875 Total number of matches played by India =... View Article

An Unbiased Die With Faces Marked 1 2 3 4 5 And 6 Is Rolled Four Times Out Of Four Values Obtained The Probability That The Minimum Face Value

1) 16/81 2) 1/81 3) 80/81 4) 65/81 Solution: Option (1) 16/81 The probability that the minimum face value is... View Article

A Purse Contains 4 Copper Coins 3 Silver Coins Second Purse Contains 6 Copper Coins 2 Silver Coins The Probability That It Is A Copper Coin Is

1) 4/7 2) 3/4 3) 37/56 4) None of these Solution: Option (3) 37/56 The probability of getting copper coin... View Article

Consider Two Events A And B Such That Pa 14 Pba 12 Pab 14 For Each Of The Following Statements Which Is True

I. P(A’/B’)= ¾ II. The events A and B are mutually exclusive III. P(A/B) + P(A/B’) = 1 1) I... View Article

Three Groups A B C Are Competing For Positions On Board Of Directors Of Company The Probabilities Of Their Winning Are 05 03 02 Respectively

1) 0.18 2) 0.35 3) 0.10 4) 0.63 Solution: Option (4) 0.63 Let X be the event of introducing a... View Article

One Bag Contains 5 White And 4 Black Balls Another Bag Contains 7 White And 9 Black Balls A Ball Is Transferred From First Bag To Second

1) 8/17 2) 40/153 3) 5/9 4) 4/9 Solution: Option (4) 4/9 The probability of selecting white ball from first... View Article

If A And B Are Two Events Such That Pa 12 And Pb 23 Then

1) P(AUB) ≥ 2/3 2) ⅙ ≤P(A∩B)≤ 1/2 3) ⅙ ≤ P(A’∩B) ≤1/2 4) All of these Solution: Option (4)... View Article

Urn A Contains 6 Red And 4 Black Balls And Urn B Contains 4 Red And 6 Black Balls One Ball Is Drawn At Random From Urn A And Placed In Urn B

1) 32/55 2) 21/55 3) 19/55 4) None of these Solution: Option (1) 32/55 Let R1 be the event that... View Article

For Any Events A And B In A Sample Space

1) P(A/B)≥ [(P(A) +P(B) – 1)/P(B)], P(B)≠ 0 is always true 2) P(A∩B’) = P(A)- P(A∩B) does not hold 3)... View Article

If A And B Are Two Events Then The Probability Of The Event That At Most One Of A B Occurs Is

1) P(A’∩B) +P(A∩B’) + P(A’∩B’) 2) 1-P(A∩B) 3) P(A’)+P(B’)+P(AUB)-1 4) All of the above Solution: Option (4) All of the... View Article

The Probability Of Happening And Event A Is 05 And That Of B Is 03 If A And B Are Mutually Exclusive Events Probability Of Neither A Nor B Is

1) 0.6 2) 0.2 3) 0.21 4) None of these Solution: Option (2)0.2 Give that P(A) = 0.5, P(B) =... View Article

If A And B Are Two Events Such That Paub Pa Intersection B Then The True Relation Is

1) P(A)+P(B)=0 2) P(A) + P(B) = P(A)P(B/A) 3) P(A)+P(B) = 2P(A)P(B/A) 4) None of the above Solution: Option (3)... View Article

Seven White Balls And Three Black Balls Are Randomly Placed In A Row The Probability That No Two Black Balls Are Placed Adjacently Equals

1) 1/2 2) 7/15 3) 2/15 4) 1/3 Solution: Option (2) 7/15 Total number of ways to arrange seven white... View Article

If Three Dice Are Thrown Simultaneously Then The Probability Of Getting A Score Of 7 Is

1) 5/216 2) 1/6 3) 5/72 4) None of these Solution: Option (3) 5/72 If three dice are thrown, the... View Article

Let X Be A Set Containing N Elements If Two Subsets A And B Of X Picked At Random The Probability That A And B Have The Same Number

1) 2nCn / 22n 2) 1 / 2nCn 3) [1.3.5…(2n-1)]/2n 4) 3n/4n Solution: Option (1) 2nCn / 22n The number... View Article

Cards Are Drawn One By One At Random From A Well Shuffled Full Pack Of 52 Cards Until Two Aces Are Obtained For The First Time If N Is The Number

1) [(n-1)(52-n)(51-n)]/[50. 49. 17.13] 2) [2(n-1)(52-n)(51-n)]/[50. 49. 17.13] 3) [3(n-1)(52-n)(51-n)]/[50. 49. 17.13] 4) [4(n-1)(52-n)(51-n)]/[50. 49. 17.13] Solution: Option (1) [(n-1)(52-n)(51-n)]/[50.... View Article

Six Boys And Six Girls Sit In A Row What Is The Probability That The Boys And Girls Sit Alternatively

1) 1/462 2) 1/924 3) 1/2 4) None of these Solution: Option (1) 1/462 Total number of ways = 12!... View Article

In Four Schools B1 B2 B3 B4 The Percentage Of Girls Students Is 12 20 13 17 Respectively From A School Selected At Random One Student Is

1) 6/31 2) 10/31 3) 13/62 4) 17/62 Solution: Option (2) 10/31 Sample space = 62C1 = 62 Favourable cases... View Article

Two Persons A And B Take Turns Throwing A Pair Of Dice The First Person To Throw 9 From Both Dice Will Be Awarded The Prize If A Throws First Then

1) 9/17 2) 8/17 3) 8/9 4) 1/9 Solution: Option (2) 8/17 The probability of getting 9 in both the... View Article

«
1
…
3,635
3,636
3,637
3,638
3,639
…
5,472
»