A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
32
48
64
96
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1
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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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2
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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3
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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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4
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A coin is tossed 5 times. What is the probability that head appears an odd number of times?
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5
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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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6
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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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 = 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 |
8
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If A, B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=3/2P(A) and P(C)=1/2P(B), then P(A∪C)=
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9
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A speaks truth in 75% cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?
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10
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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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