# Computing Probability and Odds

Three coins are tossed.

Using H to indicate heads and T to indicate tails, give the following. (To indicate that the first coin is tails, the second coin is tails, and the third coin is heads enter TTH. Express the answer as a comma-separated list.)

a. the sample space S

b. the event E that exactly two are heads

c. the event F that at least two are heads

d. the event G that all three are heads

Give the p(E), p(F), p(G), o(E), o(F), o(G), where p(X) indicates probability of event X, and o(X) indicates odds for event X.

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#### Solution Preview

a. the sample space S

S = { TTT, TTH, THT, THH, HTT, HTH, HHT, HHH }

b. the event E that exactly two are heads

E = { THH, HTH, HHT }

c. the event F that at least two are ...

#### Solution Summary

Step by step computations for probability and odds are shown with brief explanation.