AIEEE MOCK TEST

Marks :: Correct Answers :: Remarks ! Wrong Answers :: Ans Ans Ans
Question : The probability that a leap year selected at random contains 53 Sunday is




Question : Three identical dice are rolled. The probability that the same number wil appear on each of them is




Question : If the probabilties that A and B will die within a year are p and q reaspectively then the Probability that only one of them will be alive at the end of the year is




Question : A man alternately tosses a coin and throws a dice beginning with the coin. The probability that he head in the coin before he gets a 5 or 6 in the dice is




Question : You are given a box with 20 cards in it. 10 of theses cards have the letter I printed on them. The order ten have the letter T printed on them. If you pick up 3 cards at random and keep them in the same order, the probability of making the word IIT is




Question : Three faces of a fair dice are yellow, two faces red and one blue. The dice is tossed three times. The probability that the clors, yellow ,red, and the blue appear in the first, second and third tosses respectively.




Question :An unbiased dice with faces 1,2,3,4,5, and 6 is round 4 times. Out of four faces values obtained the probability that the minimum face value obtained the probability that the minimum face value is not less than 2 and the maximum face value is not greater than 5 is




Question : India plays two matches each with West Indies and Australia. In any match the probabilities of India getting ponints 0,1,2, are 0.45,0.05 and 0.50 and respectively. Assuming that outcomes are independent the probability of India getting atleast 7 point is




Question : Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral equals




Question : In a certain town, 40% of the people have brown hair, 25% have brown eyes and 15% have both brown eyes. If a person selected at random form the town, has brown hair, the probability htat he also has brown eyes is




Question : An unbiased die is tossed until a number greater that 4 appears. The probability that an even number of tosses is needed is




Question : The probability that a man will live 10 more years is 1/4 and the probability that his wife will live 10 more years is 1/3. Then the probability that neither will be alive in 10 years is




Question : If p and q are chosen randomly from the set (1,2,3,4,5,6,7,8,9,10) with replacement then the probability that roots of the equation x2+px+q=0 are real, is




Question : If from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls, one ball is drawn at random, then the probability that white and one black ball will be drawn is




Question : Three letters are written to different persons and addresses on three envelopees are also writer. Without looking at the addresses, the probability that the letters go into right envelopes is




Question : The probability that a man hits a target is 3/4, He tries 5 times. The probability that he wull hit the target at least three times is




Question : The probability of the occurence of a multiple of 3 on one die and a multiple of 2 on the other die if both are thrown together is




Question : A five-digit number is formed by the digits 1,2,3,4,5 without repeptition. The probability that the number formed is divisible by 4, is




Question : If four whole numbers takes at random are multiplied together. The chance that the last digit in the product is 1,3,7 or 9 is




Question : A pack of playing cards was found to contain only 51 cards. If the first 13 cards which are examined, are all red, the probability that the missing card is black, is




Question : Two numbers are selected at random from 1,2,3......100 and multiplied. The probability that the product thus obtained is divisible by 3, is




Question : A ten digit number is formed using the digits from zero to nine, every digit being used exactly once. The probability that the number is divisilble by 4, is




Question : A committeee consists of 9 experts taken from three institutions A,B and C of which 2 are from A,3 from B and 4 from C. If three experts resign, then the probability that they belong to different institutions is :




Question : Four cards are drawn from a pack of 52 cards. The probability of drawing exactly one piar is




Question : Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals




Question : If from eqach of three boxes containing 3 white and 1 balck, 2 white and 2 balck, 1 white and 3 balck balls, one ball is drwan at random then the probability that 2 white and 1 balck ball will be drwan is




Question : A fair coin is tossed repeatedly. If the tail appears on first four tosses. Then the probability of head appearing on the fifth toss equals




Question : An unbiased die is tossed until a number greater than 4 appears. The probability that an even number of tosses is neede is




Question : There are four machines and it is known that exactly two of them are faulty. They are tested one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed is




Question : An unbiased die with faces marked 1,2,3,4,5 and 6 is rolled four times. Out of four facec values obtained, the probabilty that the minimum face value is not less than 2 and the maximum face value is not greater than 5 is




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