A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
3/16
1/4
7/24
5/16
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1
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A polygon has 44 diagonals. What is the number of its sides?
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10
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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2
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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
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3
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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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4
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If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
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5
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There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
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6
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How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
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7
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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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8
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If
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9
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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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