Archives

X Speaks Truth In 60 And Y In 50 Of The Cases The Probability That They Contradict Each Other Narrating The Same Incident Is

1) 1/4 2) 1/3 3) 1/2 4) ⅔ Solution: Option (3) ½ Given that probability that X speaks truth = 60% = 3/5 . Probability that Y speaks truth =... View Article

If A And B Are Mutually Exclusive With Pa Equals 1by2 Times Pb And A Union B Equals S Total Sample Space Then Pa Is Equal To

1) 2/3 2) 1/3 3) 1/4 4) ¾ Solution: Option (2) ⅓ Given that, P(A) = (1/2) × P(B) P(B) = 2P(A) A ∪ B = S Thus, P(AUB) = P(S) =1 As A and... View Article

Seven Chits Are Numbered 1 To 7 Four Chits Are Drawn One By One With Replacement The Probability That The Least Number Appearing On

1) (3/7)4 2) (6/7)3 3) (5. 4. 3)/73 4) (¾)3 Solution: Option (1) (3/7)4 Total number of cases = 7C1. 7C1 . 7C1 . 7C1 The... View Article

If A And B Are Mutually Exclusive Events With Pb Not Equal1 The Pa By B Is Equal To Here B Bar Is The Complement Of The Event B

1) 1/P(B) 2) 1/(1-P(B)) 3) P(A)/P(B) 4) P(A) / (1-P(B)) Solution: Option (4) P(A) / (1-P(B)) Given that A and B are mutually exclusive... View Article

The Probability That Atleast One Of The Events A And B Occurs Is 06 If A And B Occur Simultaneously With Probability 02 Then Pa Plus Pb Is Equal

1) 0.4 2) 0.8 3) 1.2 4) 1.4 Solution: Option (3) 1.2 Given that, P(AUB) = 0.6, P(A ∩ B) = 0.2 We have to find P(A’) + P(B’) We know that... View Article

An Urn Contains 3 Red And 5 Blue Balls The Probability That Two Balls Are Drawn In Which 2nd Ball Drawn Is Blue Without Replacement Is

1) 5/16 2) 5/56 3) 5/8 4) 20/56 Solution: Option (3) ⅝ Total number of balls = 3+5 = 8 balls Required Probability = P(First ball is red,... View Article

If Pa Equals Pb Equals X And Pa Intersection B Equals Pa Intersection B Equals 1by3 Then X Is Equal To

1) 1/2 2) 1/3 3) 1/4 4) ⅙ Solution: Option (1) ½ Given that, P(A) = P(B) = x P(A ∩ B) = P(A' ∩ B') = ⅓ P(A' ∩ B') = ⅓ P(A' ∩ B') can be... View Article

If Pa Equals 1by12 Pb Equals 5by12 And Pba Equals 1by15 Then Pa Union B Is Equal To

1) 89/180 2) 90/180 3) 91/180 4) 92/180 Solution: Option (1) 89/180 Given that, P(A) = 1/12, P(B) = 5/12 and P(B/A) = 1/15 We know that... View Article

Two Aeroplanes I And Ii Bomb A Target In Succession The Probabilities Of I And Ii Scoring A Hit Correctly Are 03 And 02 Respectively The Second

1) 0.06 2) 0.14 3) 0.32 4) 0.7 Solution: Option (3) 0.32 Let A be the event that Ist airplane hit the target and B be the event that IInd... View Article

One Indian And Four American Men And Their Wives Are To Be Seated Randomly Around A Circular Table Then The Conditional Probability That The

1) 1/2 2) 1/3 3) 2/5 4) ⅕ Solution: Option (c) ⅖ Let A be the event when Indian man is seated adjacent to his wife E be the event when each... View Article

If A And B Are Two Independent Events Such That Pb Equals 2 By 7 Pa Union B Equals 08 Then Pa Is Equal To

1) 0.1 2) 0.2 3) 0.3 4) 0.4 Solution: Option (3) 0.3 P(A ∪ B’) = P(A) + P(B’) - P(A∩B’) …(1) Note that: P(A∩B’) = P(A)- P(A∩B) Now,... View Article

If E1 And E2 Are Two Mutually Exclusive Events Of An Experiment With P Not E2 Equals 06 Equals Pe1 Union E2 Then Pe1 Is Equal To

1) 0.1 2) 0.3 3) 0.4 4) 0.2 Solution: Option (4) 0.2 Given that A and B are mutually exclusive events Hence, P(E1∩E2) = 0 Given: P(not E2)... View Article

For K Equals 1 2 3 The Box Bk Contains K Red Balls And K Plus 1 White Balls Let Pb1 Equals 1 By 2 Pb2 Equals 1 By 3 And Pb3 Equals 1 By 6

1) 35/78 2) 14/39 3) 10/13 4) 12/13 Solution: Option (2) 14/39 Let R be the red balls and W be the white ball In a box, B1 contains 1R, 2W... View Article

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Archives

X Speaks Truth In 60 And Y In 50 Of The Cases The Probability That They Contradict Each Other Narrating The Same Incident Is

If A And B Are Mutually Exclusive With Pa Equals 1by2 Times Pb And A Union B Equals S Total Sample Space Then Pa Is Equal To

Seven Chits Are Numbered 1 To 7 Four Chits Are Drawn One By One With Replacement The Probability That The Least Number Appearing On

If A And B Are Mutually Exclusive Events With Pb Not Equal1 The Pa By B Is Equal To Here B Bar Is The Complement Of The Event B

The Probability That Atleast One Of The Events A And B Occurs Is 06 If A And B Occur Simultaneously With Probability 02 Then Pa Plus Pb Is Equal

An Urn Contains 3 Red And 5 Blue Balls The Probability That Two Balls Are Drawn In Which 2nd Ball Drawn Is Blue Without Replacement Is

If Pa Equals Pb Equals X And Pa Intersection B Equals Pa Intersection B Equals 1by3 Then X Is Equal To

If Pa Equals 1by12 Pb Equals 5by12 And Pba Equals 1by15 Then Pa Union B Is Equal To

Two Aeroplanes I And Ii Bomb A Target In Succession The Probabilities Of I And Ii Scoring A Hit Correctly Are 03 And 02 Respectively The Second

One Indian And Four American Men And Their Wives Are To Be Seated Randomly Around A Circular Table Then The Conditional Probability That The

If A And B Are Two Independent Events Such That Pb Equals 2 By 7 Pa Union B Equals 08 Then Pa Is Equal To

If E1 And E2 Are Two Mutually Exclusive Events Of An Experiment With P Not E2 Equals 06 Equals Pe1 Union E2 Then Pe1 Is Equal To

For K Equals 1 2 3 The Box Bk Contains K Red Balls And K Plus 1 White Balls Let Pb1 Equals 1 By 2 Pb2 Equals 1 By 3 And Pb3 Equals 1 By 6

If 5 Cos 2 Theta 2 Cos 2 Theta 2 1 Theta Where 0 Theta Pi Then

The Solutions Of The Equation 4 Cos 2 X 6 Sin 2 X 5 Are

If 2 Sec 2alpha Tan Beta Cot Beta Then One Of The Value Of Alpha Beta Is

Solution Of The Equation 3 Tan Theta 15 Is

If Sin 6theta Sin 4theta Sin 2theta 0 Then Value Of Theta Is

The Number Of Solutions Of Cos 2theta Sin Theta In Theta 2pi Is

The Value Of X In Theta Pi 2 Satisfying The Equation Sin X Cos X 1 4 Is