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A Binary Number Is Made Up Of 16 Bits The Probability Of An Incorrect Bit Appearing Is P And The Errors In Different Bits Are Independent Of One

1) p/16 2) p16 3) 16C1p16 4) 1-(1-p)16 Solution: Option (4) 1-(1-p)16. Given that, the probability of an incorrect bit = p Hence,... View Article

Two Integers Are Chosen At Random And Multiplied The Probability That The Product Is An Even Integer Is

1) 1/2 2) 2/3 3) 3/4 4) 4/5 Solution: Option (2) ? Given that, two integers are chosen at random. Total cases: If both integers... View Article

An Integer Is Chosen At Random And Squared The Probability That The Last Digit Of The Square Is 1 Or 5 Is

1) 2/10 2) 3/10 3) 4/10 4) 9/25 Solution: Option (2) 3/10 Sample space = {0,1, 2, 3, 4, 5, 6, 7, 8, 9} Total cases =10 The last... View Article

The Corners Of Regular Tetrahedrons Are Numbers 1 2 3 4 Three Tetrahedrons Are Tossed The Probability That The Sum Of Upward Corners Will Be 5

1) 5/24 2) 5/64 3) 3/32 4) 3/16 Solution: Option (3) 3/32 As, three tetrahedrons are tossed, the total cases = 43 = 64 The... View Article

The Sum Of Two Positive Numbers Is 100 The Probability That Their Product Is Greater Than 1000 Is

1) 7/9 2) 7/10 3) 2/5 4) None of these Solution: Option (1) 7/9 Assume that x and y be the two numbers Given that, x+y = 100 To... View Article

A Coin Is Tossed 3 Times By 2 Persons What Is The Probability That Both Get Equal Number Of Heads

1) 3/8 2) 1/9 3) 5/16 4) None of these Solution: Option (3) 5/16 Let us assume that X and Y are the two persons Let A be the number... View Article

A Fair Coin Is Tossed Repeatedly If Tail Appears On First Four Tosses Then The Probability Of Head Appearing On Fifth Toss Equals

1) 1/2 2) 1/32 3) 31/32 4) 1/5 Solution: Option (1) 1/2 If a coin is tossed, the probability of getting head = ½, and the... View Article

A Person Can Kill A Bird With Probability 34 He Tries 5 Times What Is The Probability That He May Not Kill The Bird

1) 243/1024 2) 781/1024 3) 1/1024 4) 1023/1024 Solution: Option (3) 1/1024 Given that, the probability that the person can kill the... View Article

A Bag Contains 30 Balls Numbered From 1 To 30 One Ball Is Drawn Randomly The Probability That The Number On The Ball Is Multiple Of 5 Or 7 Is

1) 1/2 2) 1/3 3) 2/3 4) 1/4 Solution: Option (2) 1/3 Total number of balls = 30 Let A be the event that the number on the ball is a... View Article

Two Dice Are Thrown Together The Probability That At Least One Will Show Its Digit 6 Is

1) 11/36 2) 36/11 3) 5/11 4) 1/6 Solution: Option (1) 11/36 If two dice are thrown, the total number of sample space = 36 The... View Article

The Probabilities Of A Student Getting I Ii And Iii Division In An Examination Are 110 35 And 14 Respectively The Probability That The Student Fails

1) 197/200 2) 27/100 3) 83/100 4) None of these Solution: Option (2) 27/10 The probabilities of a student getting I division, P(A) =... View Article

What Is Meant By Mathematical Induction

Mathematical inductionis a technique of proving a statement, theorem or formula which is thought to be true, for each and every natural number n.... View Article

Which Is Less Acidic Than Phenol

Formic-acid Acetic acid Ethanol 0-methoxy phenol Answer: 2. Phenols are less acidic than acetic acid Know about acetic acid in detail... View Article

Is It Better To Drink Hard Or Soft Water

Hard water is a better option than the soft water, since it contains some essential minerals which are completely removed from the soft water.... View Article

Where Can We Find Deuterium

Deuterium is found in the natural hydrogen compounds and is also present in the oceans. Know about the hydrogen element in detail @BYJU’S - The... View Article

What Is The Meaning Of Deuterium

Deuterium is the stable isotope of hydrogen and is also called heavy. The chemical symbol of deuterium is D or 2H. Deuterium has an atomic weight... View Article

Who Found Electron Proton And Neutron

Electron, Proton and Neutron were found by the following scientists: Ernest Rutherford discovered protons Sir James Chadwick, the British... View Article

How Are Hydrides Classified

Hydrides are classified as: Ionic hydrides Covalent hydrides Metallic hydrides Know about the classification of oxides @BYJU’S - The... View Article

What Is The Cause Of Permanent Hardness Of Water

Permanent hardness of water is caused by the presence of soluble salts like calcium and magnesium in the form of chlorides and sulphides in... View Article

Which Ion Does Not Cause Hardness In Water

Calcium, Magnesium Sodium Iron Answer: 3. Sodium Sodium does not cause hardness in water. Learn about the difference between hard water... View Article

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