Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
1/2
3/4
3/8
5/16
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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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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 |
3
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Two variants of the CAT paper are to be given to 12 students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant. Find the number of ways this can be done
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4
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A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
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5
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What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once
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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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What is the probability of getting at least one six in a single throw of three unbiased dice?s
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8
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Find the probability that a leap year selected at random will contain 53 Sundays
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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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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
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