If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
0
1/2
1
1/1296
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1
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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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2
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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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3
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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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4
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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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5
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Find the probability that a leap year selected at random will contain 53 Sundays
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6
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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 = 23 = 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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7
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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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8
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A five-letter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?
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9
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A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
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10
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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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