Q.667·Miscellaneous·2024·EasyFor two events A and B, P(A) = P(A|B) = 0.25 and P(B|A) = 0.5. Which of the following are correct? I. A and B are independent. II. P(Aᶜ ∪ Bᶜ) = 0.875 III. P(Aᶜ ∩ Bᶜ) = 0.375 Select the answer using the code given below:View question
Q.668·Miscellaneous·2024·EasyTwo perfect dice are thrown. What is the probability that the sum of the numbers on the faces is neither 9 nor 10?View question
Q.669·Miscellaneous·2024·EasyLet L: x + y + z + 4 = 0 = 2x - y - z + 8 be a line and P: x + 2y + 3z + 1 = 0 be a plane. What are the direction ratios of the line?View question
Q.670·Miscellaneous·2024·EasyThree distinct natural numbers are chosen at random from 1 to 10. What is the probability that they are consecutive?View question
Q.671·Miscellaneous·2024·EasyLet L: x + y + z + 4 = 0 = 2x - y - z + 8 be a line and P: x + 2y + 3z + 1 = 0 be a plane. What is the point of intersection of L and P?View question
Q.672·Miscellaneous·2024·EasyUrn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls. One ball is transferred from urn A to urn B and then a ball is drawn out of urn B. What is the probability that the ball is white?View question
Q.673·Miscellaneous·2024·EasyA, B, C are three mutually exclusive and exhaustive events associated with a random experiment. If 3P(B) = 4P(A) and 3P(C) = 2P(B), then what is P(A) equal to?View question
Q.674·Miscellaneous·2024·EasyA die has two faces with number 4, three faces with number 5 and one face with number 6. If the die is rolled once, then what is the probability of getting 4 or 5?View question
Q.675·Miscellaneous·2024·EasyA box contains 2 black, 4 yellow and 6 white balls. Three balls are drawn in succession with replacement. What is the probability that all three are of the same colour?View question
Q.676·Miscellaneous·2024·EasyA can hit a target 5 times in 6 shots, B can hit 4 times in 5 shots and C can hit 3 times in 4 shots. What is the probability that A and C may hit but B may lose?View question
Q.677·Miscellaneous·2024·EasyThe letters of the word ZOOLOGY are arranged in all possible ways. What is the probability that the consonants and vowels occur alternatively?View question
Q.678·Miscellaneous·2024·EasyWhat is the mean deviation of the first 10 natural numbers?View question
Q.679·Miscellaneous·2024·EasyA fair coin is tossed till two heads occur in succession. What is the probability that the number of tosses required is less than 6?View question
Q.680·Miscellaneous·2024·EasyABCD is an isosceles trapezium and AB is parallel to DC . Let A(2, 3), B(4, 3), C(5, 1) be the vertices. What is the point of intersection of the diagonals of the trapezium?View question
Q.681·Miscellaneous·2024·EasyLet 2x^2 + 2y^2 + 2z^2 + 3x + 3y + 3z - 6 = 0 be a sphere. What is the diameter of the sphere?View question
Q.682·Miscellaneous·2024·EasyIf P(2, 4), Q(8, 12), R(10, 14) and S(x, y) are vertices of a parallelogram, then what is (x + y) equal to?View question
Q.683·Miscellaneous·2024·EasyABCD is an isosceles trapezium and AB is parallel to DC . Let A(2, 3), B(4, 3), C(5, 1) be the vertices. What are the coordinates of vertex D?View question
Q.684·Miscellaneous·2024·EasyLet 2x^2 + 2y^2 + 2z^2 + 3x + 3y + 3z - 6 = 0 be a sphere. The centre of the sphere lies on the planeView question