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Three identical dice are rolled once. Th...

Three identical dice are rolled once. The probability that the same number will appear on each of them, is (a) `1/6` (b) `1/36` (c) `1/18` (d) `3/28`

A

`(1)/(6)`

B

`(1)/(36)`

C

`(1)/(18)`

D

`(3)/(28)`.

Text Solution

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The correct Answer is:
B
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FIITJEE-PROBABILITY-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
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  2. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

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  3. An unbiased die with faced marked 1, 2, 3, 4, 5, and 6 is rolled four ...

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  4. Three numbers are selected at random one by one with replacement from ...

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  5. Three identical dice are rolled once. The probability that the same nu...

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  6. Let three numbers be A=2^2 xx 3^3 xx 5, B =7^2 xx 13 xx 17, C = 2xx 3 ...

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  7. If two subsets A and B of set S containing n elements are selected at ...

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  8. One boy can solve 60%of the problem in a book and another can solve 80...

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  9. Three dice are rolled. The probability that different numbers will app...

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  10. A speaks truth in 605 cases and B speaks truth in 70% cases. The proba...

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  11. The probabilities of solving a problem correctly by A and B are (1)/(8...

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  12. Four die are thrown simultaneously. The probability that 4 and 3 appea...

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  13. A positive integer 'n' not exceeding 100, is chosen in such a way that...

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  14. Two boxes containing 20 balls each, and each balls is either black or ...

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  15. Four identical oranges and six distinct apples (each a different varie...

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  16. Four identical dice are rolled once. The probability that atleast diff...

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  17. Three numbers are selected from the set {1, 2, 3, ..., 23, 24}, withou...

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  18. An urn contains 10 white and 3 black balls.Another urn contains 3 whit...

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  19. If A and B are two events such P(A)=1/2 and P(B)=2/3 then:

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  20. Statement -1 : If A,B,C are three events such that P(A)=(2)/(3),P(B)=(...

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