What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once
55566
66660
56456
84738
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1
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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
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2
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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%?
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3
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If a team of 4 persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least 1 female
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4
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Find the probability that a leap year selected at random will contain 53 Sundays
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5
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If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 , then P(A' ∩ B' ) equals
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6
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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7
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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 
8
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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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9
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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10
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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)?
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