7.5 Exercise 1

Consider an experiment that consists of rolling a single standard 6-sided die (with faces numbered 1-6). Decide if these probabilities are equal to zero, equal to one, or somewhere in between.

1. $P \left(\text{roll a 4}\right)$
2. $P \left(\text{roll a 7}\right)$
3. $P \left(\text{roll a positive number}\right)$
4. $P \left(\text{roll a} \frac{1}{3}\right)$
5. $P \left(\text{roll an even number}\right)$
6. $P \left(\text{roll a single}-\text{digit number}\right)$