A to Z Exams

A man throws a die until he gets a number bigger than 3. The probability that he gets a 5 in the last throw is

Two cards aredrawn from a pack. The probability that one of them is  a club and the  other is not a club is

The letters of the word SUCCESS are arranged in a row at random. The probability that all S’s come together is

A five digit number is formed by using the digits 0, 1,2,3,4 and 5 without repetetion.The probability that the number is divisible by 6 is

A mapping is selected at random from the set of all mappings from the set A={1,2,3}in to B= {1,2,3,4}.The probability that the mapping selected is many to one is

5 digit numbers can be formed from the digits 0, 2,2,4,5. One number is selected at random.the probability that it is divisible by 5 is

One hundred cards are numbered from 1 to 100. The probability that a randomly chosen card has a digit 5 is

If a number x is selected from natural numbers 1 to 100,then the probability for x+100/x >29 is

If 1+3p/3, 1-2p/2are the probability of two mutually exclusive events, then p lies

A, B, C are three routes from the house to the office. On any day, the route selected by the officer is independent of the climate. On a rainy day, the probabilities of reaching the office late, through these routes are 1/25, 1/10, 1/4respectively. If a rainy day the officer is late to the office then the probability that the route to be B is

If three six faced dice are thrown together, then the probability that the sum of the numbers appearing on the dice is k(3≤k≤8)is

If n positive integers are taken at random and multiplied together , the probability that the last digit of the product is 2,4,6 or 8 is

Five digit numbers can be formed from the digits 1,2,3,4,5. If one number is selected at random, the probability that it is an even number is

A bag contains four balls. Two balls are drawn and found them to be white. The probability that all the balls are white is

If 3 cards are drawn from a pack of cards, then the probability for the cards to be a king, a queen and a jack is

If the probability that A and B will die with in a year are p and q respectively, then the probability that only one of them will be alive at the end of the year is

The eccentricity o the ellipse 9x2+16y2=576 is

A bag contain 6 white and 4 black balls. A fair die is rolled and a number of balls equal to that appearing on the die is chosen from the bag at random. The probability that all the balls selected are white is

The vertex and focus of a parabola are (2, 1), (1, -1). Then the equation of the tangent at the vertex is

If one ticket is randomly selected from, tickets numbered from 1to 30 then the probabilitythat the numbered on the tickets i a multiple of 5 or 7 is

If the point of intersection of kx+4y+2=0, x-3y+5=0 lies on 2x+7y-3=0, then k=

A person has 3 shares in a lottery containing 2 prizes and 5 blanks. The chance of getting prize is

If P (A) =0.4, P (B) =0.5, P(C) =0.6, P (A∩B) =0.2, P (B∩C) =0.3, P (C∩A) =0.25, P (A∩B∩C) =0.1then P (AUBUC) =

The radical axis of the circles x2+y2-6x-4y-44=0 and x2+y2-14x-5y-24=0 is

Bag A contains4 white, 3black balls.Bag B contains 3 white and 5 black balls.One ball is drawn from each bag .The probability that both are black is

The radius of the sphere x2+y2+z2-2x+4y-6z+7=0 is

The distance of (1, -2) from the common chord of x2+y2-5x+4y-2=0 and x2+y2-2x+8y+3=0 is

If the probability for A to fail in one exam is 0.2 and that of B is 0.3, then the probability that either A or B fails is

If 5 biscuits are distributed among 6 children, the probability that a particular child gets 4 sweets is

Three students A,B,C are to take part in a swimming competition. The probabilities of A ‘s winning or the probability of B’s winning of B’s winning is 3 times the probability of C’s winning. The probability of the event of either B or C to win is