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The Chances To Fail In Physics Are 20 And The Chances To Fail In Mathematics Are 10 What Are The Chances To Fail In Atleast One Subject

1) 28% 2) 38% 3) 72% 4) 82% Solution: Option (1) 28% Let A and B be probability that fail t Physics and Maths respectively. P(A) = 20/100 =... View Article

The Probability That A Leap Year Selected At Random Will Contain Either 53 Thursday Or 53 Friday Is

1) 3/7 2) 2/7 3) 5/7 4) 1/7 Solution: Option (1) 3/7 In a leap year, we have 366 days. It means, leap year contains 52 weeks and 2 days. The... View Article

If A And B Are Independent Events Of A Random Experiment Such That Pa Intersection B Equals 1 By 6 Pa Intersection B Equals 1 By 3

1) 1/4 2) 1/3 3) 5/7 4) ⅔ Solution: Option (3) ⅓ Given that P(A∩B) = ⅙, P(A’∩B’) = ⅓ P(A’∩B’) = P(AUB)’ = 1-P(AUB) P(AUB) =1- (⅓) P(AUB)... View Article

A Man Is Known To Speak The Truth 3 Out Of 4 Times He Throws A Die Arid Report That It Is Six The Probability That It Actually A Six Is

1) 3/8 2) 1/5 3) 3/4 4) None of these Solution: Option (1) ⅜ Given that, the probability that man speaks truth = ¾ Hence, the probability... View Article

A Die Is Thrown If A Is The Event That The Number Obtained Is Greater Than 3 And B Is The Event That The Number Obtained Is Less Than 5

1) 2/5 2) 3/5 3) 0 4) 1 Solution: Option (4) 1 Number of sample space = 6 Given that A is the event that the number obtained is greater... View Article

It Is Given That The Events A And B Are Such That Pa Equals 1 By 4 P A By B Equals 1 By 2 And P B By A Equals 2 By 3 Then Pb Is Equal To

1) 1/2 2) 1/6 3) 1/3 4) ⅔ Solution: Option (3) ⅓ Given that, P(A) = 1/4, P(A/B) = 1/2 and P(B/A) = ⅔ P(A/B) = P(A∩B)/ P(B) …(1) P(B/A) =... View Article

An Experiment Has 10 Equally Likely Outcomes Let A And B Be Two Nonempty Events Of The Experiment If A Consists Of 4 Outcomes

1) 2, 4 or 8 2) 3, 6 or 9 3) 4 or 8 4) 5 or 10 Solution: Option (4) 5 or 10 Given that A and B are independent events Let nB represents the... View Article

If A And B Are Two Events Of A Random Experiment Such That Pa Union B Equals 4 By 5 Pa Union B Equals 7 By10 And Pb

1) 9/10 2) 8/10 3) 7/10 4) ⅗ Solution: Option (3) 7/10 Given: P(AUB) = ⅘, P(A’UB’)= 7/10, and P(B) = ⅖ P(A’UB’) = P(A∩B)c = 7/10 We know... View Article

A Person Draws A Card From A Pack Of Playing Cards Replaces It And Shuffles The Pack He Continues Doing This Until He Draws A Spade

1) 9/64 2) 1/64 3) 1/16 4) 9/16 Solution: Option (4) 9/16 There are 52 cards in a pack. The probability of getting a spade = 13/52 = ¼... View Article

If A And B Are Two Independent Events Such That Pa Union B Bar Equals 08 And Pa Equals 03 Then Pb Is Equal To

1) 2/7 2) 2/3 3) 3/8 4) 1/8 Solution: Option (1) 2/7 Given: P(A ∪ B') = 0.8, P(A) = 0.3 P(A ∪ B') = P(A)+ P(B’) - P(A)P(B’) 0.8 = 0.3 +... View Article

The Probability That In The Toss Of Two Dice We Obtain An Even Sum Or A Sum Less Than 5 Is

1) 1/2 2) 1/6 3) 2/3 4) 5/9 Solution: Option (4) 5/9 Let X be the event of getting an even sum and Y be the event of getting sum less than... View Article

An Unbiased Die Is Tossed Until A Number Greater Than 4 Appears The Probability That An Even Number Of Tosses Is Needed Is

1) 1/2 2) 2/5 3) 1/5 4) ⅔ Solution: Option (2) ⅖ If a die is tossed, the number of sample space is 6 Let A be the event that the number... View Article

Let A B And C Be The Three Events Such That Pa Equals 03 Pb Equals 04 Pc Equals 08 Pa Intersection B Equals 008 Pa Intersection C Equals

1) P(B ∩ C) ≤ 0.23 2) P(B ∩ C) ≤ 0.48 3) 0.23 ≤ P(B ∩ C) ≤ 0.48 4) 0.23 ≤ P(B ∩ C) ≥ 0.48 Solution: Option (3) 0.23 ≤ P(B ∩ C) ≤ 0.48 Given... View Article

One Ticket Is Selected At Random From 50 Tickets Numbered 00 01 02 To 49 Then The Probability That The Sum Of The Digits On The Selected Ticket Is 8

1) 1/14 2) 1/7 3) 5/14 4) 1/50 Solution: Option (1) 1/14 Let A be the event that the sum of the digits on the selected ticket is 8. =... View Article

Two Dice Are Tossed Once The Probability Of Getting Even Number At The First Die Or A Total Of 8 Is

1) 1/36 2) 3/36 3) 11/36 4) 5/9 Solution: Option (4) 5/9 If two dice are tossed, the total number of sample space = 36 Let A be the event... View Article

If N Positive Integers Are Taken At Random And Multiplied Together Then The Probability That The Last Digit Of The Product Is 2 4 6 Or 8 Is

1) (4n+2n)/5n 2) (4n x 2n)/5n 3) (4n- 2n)/5n 4) None of these Solution: Option (3) (4n- 2n)/5n The probability of integer ending in... View Article

A Signal Which Can Be Green Or Red With Probability 4 By 5 And 1 By 5 Respectively Is Received By Station A And Then Transmitted To Station B

1) 3/5 2) 6/7 3) 20/23 4) 9/20 Solution: Option (3) 20/33 Let G be the event that the original signal is green E1 is the event that A... View Article

Three Numbers Are Chosen At Random Without Replacement From 1 2 8 The Probability That Their Minimum Is 3 Given That Their Maximum Is 6 Is

1) 3/8 2) 1/5 3) 1/2 4) ⅔ Solution: Option (2) ⅕ Let A be the event of getting minimum value 3 and B be the event of getting the maximum... View Article

If X And Y Are Two Events That P X By Y Equals 1 By 2 P Y By X Equals 1 By 3 And P X Intersection Y Equals 1 By 6 Then Which Of The Following

1) P(X ∪ Y) = 2/3 2) X and Y are independent 3) X and Y are not independent 4) P(Xc ∩ Y) = ⅓ Solution: Option (1) and (2) are correct Given:... View Article

A Box B1 Contains 1 White Ball 3 Red Balls And 2 Black Balls If 2 Balls Are Drawn Without Replacement From A Randomly Selected Box And One Of The Balls

1) 116/181 2) 126/181 3) 65/181 4) 55/181 Solution: Option (4) 55/181 Let A be the event one ball is white and the other ball is red. E1 =... View Article