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Question : The probability that a leap year selected at random contains 53 Sunday is 7/66 26/183 1/7 2/7

Question : Three identical dice are rolled. The probability that the same number wil appear on each of them is 1/6 1/8 1/36 None

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
p+q p+q-2pq p+q-pq p+q+pq

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 3/4 1/2 1/3 None

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 9/8 1/8 4/27 5/38

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. 5/36 7/36 1/36 None of these

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 16/81 1/81 80/81 65/81

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 0.8750 0.0875 0.0624 0.0250

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 1/2 1/5 1/10 1/20

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 1/5 3/8 1/3 2/3

Question : An unbiased die is tossed until a number greater that 4 appears. The probability that an even number of tosses is needed is 1/2 2/5 1/5 2/3

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 5/12 1/2 7/12 11/12

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 x^{2}+px+q=0 are real, is
0.62 0.32 0.44 None of these

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 13/32 1/4 1/32 3/16

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 1/27 1/6 1/9 None of these

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 191/364 371/464 471/581 459/512

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 1/6 1/3 11/16 1/4

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 1/5 4/5 3/5 None

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 4/625 18/625 16/625 None of these

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 2/3 1/3 4/3 None

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 0.31 0.44 0.49 0.55

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
16/81 20/81 32/81 Non eof these

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 : 1/729 1/24 1/21 2/7

Question : Four cards are drawn from a pack of 52 cards. The probability of drawing exactly one piar is 0.4 0.5 0.8 None of these

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 1/2 7/15 2/15 1/3

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 13/32 1/4 1/32 3/16

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 1/2 1/32 31/32 1/5

Question : An unbiased die is tossed until a number greater than 4 appears. The probability that an even number of tosses is neede is 1/2 2/5 1/5 2/3

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 1/3 1/6 1/2 1/4

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 16/81 1/81 80/81 65/81