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The Probability That The Same Number Appear On Throwing Three Dice Simultaneously Is

1) 1/36 2) 5/36 3) ⅙ 4) 4/13 Solution: Option (1) 1/36 When three dice are rolled, the total number of sample spaces is 216. Favourable outcomes=... View Article

Seven Balls Are Drawn Simultaneously From A Bag Containing 5 White And 6 Green Balls The Probability Of Drawing

Solution: Option (3) (5C2x6C2)/11C7 Total number of balls = 11 Therefore, total cases = 11C7 Favourable cases = 5C3. 6C4 = 5C2. 6C2 Required... View Article

The Probability That Number Selected At Random From The Numbers 1 2 3 4 5 6 7 8 To 100 Is A Prime Is

Solution: Option (2) 0.25 Total number of elements = 100 The set of prime number from 1 to 100 are... View Article

Let S Be The Sample Space Of The Random Experiment Of Throwing Simultaneously Two Unbiased Dice With Six Faces Numbered 1 To 6

Let S be the sample space of the random experiment of throwing simultaneously two unbiased dice with. six faces (numbered 1 to 6) and Ek = {(a,... View Article

Let A Equal To 1 3 5 7 9 And B Equal To 2 4 6 8 If In A Cartesian Product A Cross B Comma A Comma B Is Chosen At Random

Solution: Option (2) ⅕ Given set A = {1, 3, 5, 7, 9} Set B = {2, 4, 6, 8} Therefore, A x B = {(1, 2), (1, 4), (1, 6), (1, 8) (3, 2), (3, 4), (3,... View Article

Twelve Tickets Are Numbered From 1 To 12 One Ticket Is Drawn At Random Then The Probability Of The Number

Solution: Option (1) ⅔ Total number of tickets = 12 Let E be the event in which the number to be divisible by 2 or 3 E = {2, 3, 4, 5, 8, 9, 10,... View Article

A Purse Contains 4 Copper And 3 Silver Coins Another Purse Contains 6 Copper And 2 Silver Coins A Coin Is Taken Out

Solution: Option (2) 19/56 Let A be the event of picking silver coins from any purse E1 be the event of selecting first purse and E2 be the event... View Article

Probability Of Getting Positive Integral Roots Of The Equation X Square N Equals 0 For The Integer N

Solution: Option (3) 3/20 Given equation is x2-n = 0 Therefore, x = √n, (as we need only positive integral roots) For integral roots, n can take... View Article

The Probability Of Choosing Randomly A Number C From The Set 1 2 3 9 Such That The Quadratic Equation

Solution: Option (4) 4/9 Total number of elements in a set = 9. Given quadratic equation is x2+4x+ c= 0 For the roots to be real, the determinant... View Article

A Determinant Of Second Order Is Made With The Elements 0 And 1 What Is The Probability That The Determinant Is Positive

Solution: Option (3) 3/16 The total number of ways = 16 Total number of ways that the determinant is positive = 3 that is, Therefore, the... View Article

Probability Of All 3 Digit Numbers Having All The Digits Same Is

Solution: Option (1) 1/100 Total number of three digits numbers = 900 Total number of 3 digit numbers in which all the digits are same = 9... View Article

In An Assembly Of 4 Persons The Probability That Atleast 2 Of Them Have The Same Birthday Is

Solution: Option (4) 0.016 Total number of persons in a assembly = 4 Required probability = Probability that the 2 persons have the same birthday... View Article

Two Dice Are Thrown Together Then The Probability That The Sum Of Numbers Appearing On Them Is A Prime Number Is

Solution: Option (1) 5/12 When two dice are thrown, the total number of sample spaces is 36. Favourable outcomes =... View Article

In A College 25percent Boys And 10percent Girls Offer Mathematics There Are 60percent Girls In The College

In a college, 25% boys and 10% girls offer mathematics. There are 60% girls in the college. If a Mathematics student is chosen at random, then... View Article

Three Numbers Are Chosen At Random From 1 To 20 The Probability That They Are Consecutive Is

Three numbers are chosen at random from 1 to 20. The probability that they are consecutive, is 1) 1/190 2) 1/120 3) 3/190 4) 5/190 Solution:... View Article

A Complete Cycle Of A Traffic Light Takes 60s During Each Cycle The Light Is Green For 25 S

A complete cycle of a traffic light takes 60 s. During each cycle the light is green for 25 s, yellow for 5 s and red for 30 s. At a randomly... View Article

The Probability That The Three Cards Drawn From A Pack Of 52 Cards Are All Black Is

The probability that the three cards drawn from a pack of 52 cards, are all black, is 1) 1/17 2) 2/17 3) 3/17 4) 2/19 Solution: Option (2) 2/17... View Article

From A Group Of 8 Boys And 3 Girls A Committee Of 5 Members To Be Formed Find The Probability That

Solution: Option (2) 2/11 There are 8 boys and 3 girls The committee to be formed will have 5 members, and out of these 2 will be girls... View Article

An Urn Contains Nine Balls Of Which Three Are Red Four Are Blue And Two Are Green Three Balls Are Drawn

Solution: Option (2) 2/7 Total number of balls = 3+4+ 2 = 7 The probability that 3 balls have different colors = 3C1. 4C1. 2C1 / 9C3 =... View Article

If Birth To Male Child And Birth To Female Child Are Equal Probable Then What Is The Probability That

Solution: Option (2) ⅞ Total number of children= 3 Let “p” be the probability of male child = ½ Hence, q = 1-(½) = ½ (q be the probability of... View Article