1) The expected value is the same as for a fair die;

2) The probability of rolling either 1 or 2 or 5 is the same as the probability of rolling either 4 or 6;

3) The probability of rolling either a 2 or 3 is 1/2;

4) If the die is rolled twice in a row, the probability of getting 6 both times is the same as getting a 2 and then a 5;

5) The probability of rolling a 4 is ten times that of rolling a 1;

6) The probability of rolling a 6 is twice that of rolling a 5.

What is the probability of each side? This can and should be solved by hand.