We know that,

Probability of occurrence of an event

As 4, 5 are two numbers between 3 and, so the desired outcomes are 3, 6, and total outcomes are 1, 2, 3, 4, 5, 6

Therefore, total no.of outcomes are 6, and total no.of desired outcomes are 2

Probability of getting a number between 3 and 6

Conclusion: Probability of getting a number between 3 and 6 when a die is thrown is