1.4 Exercise 8

The classical probability model is based on the assumption of equally likely outcomes. Some care must be shown in analysis to be certain that this assumption is good. A well known example is the following. Two coins are tossed. One of three outcomes is observed: Let ω₁ be the outcome both are “heads,” ω₂ the outcome that both are “tails,” and ω₃ be the outcome that they are different. Is it reasonable to suppose these three outcomes are equally likely? What probabilities would you assign?