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:
- \(\{HHH,HHT,HTH,HTT\}\)
- \(\{HTH,HTT,TTT,TTH\}\)
- \(\{HTT,HTH,HHT,HHH\}\)
- \(\{HTH,THH,TTH\}\)
- \(\{THT,HTT,TTH\}\)
- \(\{TTT,TTH,THT,HTT\}\)
- \(\{HHT,HHH,TTH,TTT\}\)
[Pitman, p31, #5] (Assign 1 and 5 first).