A coin is tossed 5 times. What is the probability that head appears an odd number of times?
1/2
2/3
1/3
1
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1
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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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2
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If A, B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=3/2P(A) and P(C)=1/2P(B), then P(A∪C)=
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3
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The number of circles that can be drawn out of 10 points of which 7 are collinear is
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4
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The value of ^{75}P_{2}
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5
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How many rectangles can be formed out of a chess board ?
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6
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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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7
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12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is
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8
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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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9
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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?
Solution 
10
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A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that he gets a profit of Rs.12?
SolutionPerson will get profit of Rs 12 only when there is 2H (Head) and 1T (Tail) H + H + T = 12 8 + 8 + (4) = 12 Total outcome of 2 head and 1 tail = 2^{3} = 8 i.e (T, H, TH, HT, HH, HHT, HTH, THH) Total event with 2H and 1 T is 3 therfore probability = 3/8 
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