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What Are Theexamplesofrandommotion

Example of random motion are: Flying of kite Balloon in the sky Movement of fish in the water Flying of butterfly Visit BYJU'S - The... View Article

Why Is Silver Useful

Silver is useful in many ways: Silver has conductivity property, it is used in making electrical wires. Silver is used for brazing and... View Article

Is A Hemiacetal A Reducing Sugar

Yes, hemiacetal is a reducing sugar. Visit BYJU'S - The Learning App to know more about Benedict’s test.... View Article

In A Trial The Probability Of Success Is Twice The Probability Of Failure In Six Trials The Probability Of Atleast Four Successes Will Be

1) 496/729 2) 400/729 3) 500/729 4) 600/729 Solution: Option (1) 496/729 Let p be the probability of success and q be the probability of... View Article

If A And B Are Two Independent Events Such That Pa Equals 12 And Pb Equals 13 Then P Of Neither A Nor B Is Equal To

1) 2/3 2) 1/6 3) 5/6 4) ⅓ Solution: Option (4) 1/3 Given that P(A) = 1/2 and P(B) = ⅓ P(neither A nor B) means P(A’∩B’) P(A’∩B’) can be... View Article

A Coin And Six Faced Die Both Unbiased Are Thrown Simultaneously The Probability Of Getting A Head On The Coin And An Odd Number On The Die Is

1) 1/2 2) 3/4 3) 1/4 4) ⅔ Solution: Option (3) ¼ The probability of getting a head on the coin = ½. The probability of getting an odd... View Article

Box A Contains 2 Black And 3 Red Balls While Box B Contains 3 Black And 4 Red Balls Out Of These Two Boxes One Is Selected At Random And The Probability

1) 21/41 2) 10/31 3) 12/31 4) 13/41 Solution: Option (2) 10/31 The probability of choosing the box B = P The probability of choosing the... View Article

If A B Are Two Events And Pa Equals 03 Pb Equals 04 And Pa Intersection B Equals 05 Then Pa Union B Is Equal To

1) 0.5 2) 0.8 3) 1 4) 0.1 Solution: Option (2) 0.8 Given that P(A') = 0.3, P(B) = 0.4 and P(A ∩ B') = 0.5 P(A) = 1- P(A’) = 1-0.3 P(A) =... View Article

A Biased Coin With Probability P 0 Lessthan P Lessthan 1 Of Heads Is Tossed Until A Head Appears For The First Time If The Probability That

1) 1/3 2) 2/3 3) 2/5 4) ⅗ Solution: Option (1) ⅓ Let the “p” be the probability of getting a head and “q” be the probability of not getting... View Article

Two Dice Are Rolled One After The Other The Probability That The Number On The First Is Smaller Than The Number On The Second Is

1) 1/2 2) 3/4 3) 7/18 4) 5/12 Solution: Option (4) 5/12 Let Ai be the event of getting a number “i” on the first die Bi be the event of... View Article

If Events Are Independents And Pa Equals 1by3 Pb Equals 1by3 And Pc Equals 1by4 Then Pa Intersection B Intersection C Is Equal To

1) 1/4 2) 1/12 3) 1/3 4) 5/12 Solution: Option (3) ⅓ Given that P(A) = 1/3, P(B) = 1/3 and P(C) = 1/4 Thus, P(A’) = 1- (⅓) = 2/3 P(B’) =... View Article

A Bag Contains 5 White And 3 Black Balls And 4 Balls Are Successively Drawn Out And Not Replaced The Probability That They Are Alternately Of Different Colours Is

1) 1/196 2) 2/7 3) 1/7 4) 13/56 Solution: Option (3) 1/7 The probability of getting alternate of different colours, when the first ball is... View Article

A Bag A Contains 4 Green And 3 Red Balls And Bag B Contains 4 Red And 3 Green Balls One Bag Is Taken At Random And A Ball Is Drawn And Noted To Be Green

1) 2/7 2) 2/3 3) 3/7 4) ⅓ Solution: Option (3) 3/7 Let “G” represent the green balls, and R represents the red ball. The Probability of... View Article

A Fair Die Is Rolled The Probability That The First Time 1 Occurs At The Even Throw Is

1) 1/6 2) 5/11 3) 6/11 4) 5/36 Solution: Option (2) 5/11 Let E be the event of getting 1, when a fair die is rolled. P(E) = ⅙ Hence, P(E’)... View Article

An Integer Is Chosen At Random From The First Two Hundred Numbers Then The Probability That The Integer Chosen Is Divisible By 6 Or 8 Is

1) 1/4 2) 2/4 3) 3/4 4) None of these Solution: Option (1) ¼ Total Number of cases = 200 Let A be the integer which is divisible by 6... View Article

If The Probability Of A To Fail In An Examination Is 02 And That For B Is 03 Then Probability That Either A Or B Is Fail Is

1) 0.5 2) 0.44 3) 0.8 4) 0.25 Solution: Option (2) 0.44 The probability that A fails in an exam = 0.2 The probability that B fails in an... View Article

The Probability That In The Toss Of Two Dice We Obtain The Sum 7 Or 11 Is

1) 1/6 2) 1/18 3) 2/9 4) 23/108 Solution: Option (3) 2/9 The total number of sample space, if two dice are tossed = 36 ways Let A be the... View Article

If Pb Equals 3by4 Pa Intersection B Intersection C 1by3 And Pa Intersection B Intersection C Equals 1by3 Then Pb Intersection C Is Equal To

1) 1/12 2) 1/6 3) 1/15 4) 1/9 Solution: Option (1) 1/12 Given that, P(B) = ¾, P(A∩B∩C’)= ⅓ and P(A’∩B∩C’)= ⅓ P(B∩C) = P(B)- [P(A∩B∩C’)+... View Article

A Bag Contains 3 Black 3 White And 2 Red Balls One By One Three Balls Are Drawn Without Replacement The Probability That The Third Ball Is Red Is

1) 2/56 2) 3/56 3) 1/56 4) 12/56 5) 14/56 Solution: Option (5) 14/56 Total number of balls = 8 Let W be the white ball, R be the red ball... View Article

An Antiaircraft Gun Can Take A Maximum Of Four Shots At Any Plane Moving Away From It The Probabilities Of Hitting The Plane At The

1) 0.6976 2) 0.3024 3) 0.72 4) 0.6431 5) 0.7391 Solution: Option (1) 0.6976 The probability that the gun hits the plane at 1st shot = 0.4 =... View Article