1.

A die is thrown three times. The chance that the highest number shown on the die is 4 is p, then the value of `[1//p]` is where [.] represents greatest integer function is _________.

Answer» Correct Answer - 5
Highest number in three three throws is 4, which means at least one of the throws must be equal to 4.
Number of ways when three blocks are filled from `(1,2,3,4}=4^(3)`
`therefore` Number of ways when filled from `{1,2,3}=3^(3)`
`therefore` Required number of ways `=4^(3)-3^(3)`
`therefore"Probability,"p=(4^(3)-3^(3))/(6^(3))=37/216`


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