Find the probability that a leap year selected at random will contain 53 Sundays
2/7
3/7
2/3
5/6
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1
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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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2
Discuss

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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3
Discuss

A fiveletter 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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4
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In a single throw with four dice,the probability of throwing seven is
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5
Discuss

Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
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6
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There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
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7
Discuss

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
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8
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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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9
Discuss

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 
10
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
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