In each of the following situations, state whether or not the given assignment of probabilities to individual outcomes is legitimate, that is, satisfies the rules of probability. If not, give specific reasons for your answer.

Question

In each of the following situations, state whether or not the given assignment of probabilities to individual outcomes is legitimate, that is, satisfies the rules of probability. If not, give specific reasons for your answer.
a.) when a coin is spun, P(H)=0.55 and P(T)=0.45.

b.) When two coins are tossed, P(HH)=0.4, P(HT)=0.4, P(TH)=0.4, and P(TT)=0.4.

PsyDAG · Answer

a. Why would the probability of a coin landing on one side be different that landing on the other, if it is a fair coin? b. The probability of all events occurring always = 1.