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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In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
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2
Discuss

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
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3
Discuss

A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is
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4
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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
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5
Discuss

A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
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6
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From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
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7
Discuss

The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is
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8
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
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9
Discuss

A biased coin in tossed thrice. What is the probability that heads turns out at least twice considering that the probability of a head is 60%?
Solution 
10
Discuss

A, B, C, and D are four points, any three of which are noncollinear. 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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