In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
1/10
2/5
2/7
5/7
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1
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A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
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2
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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3
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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
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4
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In how many ways can 10 people line up at a ticket window of a railway station?
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5
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How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
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6
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If (n + 2)! = 2550 (n!); find ’n’
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7
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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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8
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A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
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9
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Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
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10
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Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
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