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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How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
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2
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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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3
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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 |
4
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There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?
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5
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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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6
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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
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7
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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8
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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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9
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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10
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In how many ways can the letters of the word 'LEADER' be arranged?
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