In choosing a suitable sample space, you should simplify the situation as much as possible, but without loosing vital information. Alice thinks the relevant sample space should consist of all ordered triples of numbers from 1 through 6, whereas Bob thinks that the order doesn't matter. Alice's idea is better. Bob's idea is better. Both approaches are equally good.
Heads comes up more often than tails.
Heads comes up at least twice. Tails comes up exactly once. The whole sample space. In order to calculate probabilities of complex events, one needs to be aware of the probabilities of simple events. 0.4 0.5 0.6 0.7 0.8 0.9 Roy is making plans for the evening.