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

5

Explanation

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`