A seven sides number cube with sides numbered 1,2,3,4,5,6,7 is rolled what is the possibility that an odd number or a seven is rolled

You have a 4 out of 7 chance to get an odd number

Lets count how many odds there are and how many total there are.

4 odds 7 total. Since we are only calculating for 1 roll 4/7 is the answer.

usually you would add the "or 7 is rolled" but it falls in the odd category so the answer is unchanged.

your answer is 4/7