If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 , then P(A' ∩ B' ) equals
4/15
8/45
1/3
2/9
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1
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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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2
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A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
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3
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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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4
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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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5
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In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
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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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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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8
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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)?
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9
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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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10
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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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