An unbiased die is thrown. What is the probability of getting: (i) an even number (ii)  a multiple of 3 (iii) an even number or a multiple of 3 (iv) an even number and a multiple of 3 (v) a number 3 or 4 (vi) an odd number (vii) a number less than 5 (viii) a number greater than 3 (ix) a number between 3 and 6

Explanation

To solve the problem step by step, we will first define the sample space and then calculate the probabilities for each part of the question.

### Sample Space
When an unbiased die is thrown, the possible outcomes are:
\[ S = \{1, 2, 3, 4, 5, 6\} \]

The total number of outcomes in the sample space \( N(S) \) is:
\[ N(S) = 6 \]
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