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Coin Flips: describe events

Consider the probability space

\[ \Omega = \{ HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\}\]

as the outcome of three consecutive tosses of a coin. (We make the reasonable assumption that all outcomes are are equally likely.) The event

\[ \{ HHH,TTT\}\]

is the event that all three tosses have the same outcome. Give a similar verbal description to each of the events bellow:

  1. \(\{HHH,HHT,HTH,HTT\}\)
  2. \(\{HTH,HTT,TTT,TTH\}\)
  3. \(\{HTT,HTH,HHT,HHH\}\)
  4. \(\{HTH,THH,TTH\}\)
  5. \(\{THT,HTT,TTH\}\)
  6. \(\{TTT,TTH,THT,HTT\}\)
  7. \(\{HHT,HHH,TTH,TTT\}\)

[Pitman, p31, #5] (Assign 1 and 5 first).

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