From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
1/15
25/57
35/256
None Of These
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1
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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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2
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How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
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3
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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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4
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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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5
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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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6
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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7
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Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game
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8
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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 
9
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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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10
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If P(A)=2/5, P(B)=3/10 and P(A ∩ B) =51, then P(A'  B'). P(B'  A') is equal to
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