(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely?
(b) Assign probabilities to the outcomes of the sample space in part (a). Do the probabilities add up to 1? Should they add up to 1? Explain.
(c) What is the probability of getting a number less than 5 on a single roll?
(d) What is the probability of getting 5 or 6 on a single roll?ss