The outcomes of a match are that a hockey team can
either win, draw or lose. The team plays 2 matches
(a)How many different outcomes are there
altogether?
(b)How many different outcomes are there if the
team plays 3 matches?
+538 a) 9
The team has 3 possibilities for game 1, and 3 possibilities for game 2. 3*3 is 9.
WW
WD
WL
DW
DD
DL
LW
LD
LL
b)27
Adding another 3 for the extra game to the equation, 3*3*3 is 27.
WWW, WWD, WWL
WDW, WDD, WDL
WLW, WLD, WLL
DWW, DWD, DWL
DDW, DDD, DDL
DLW, DLD, DLL
LWW, LWD, LWL
LDW, LDD, LDL
LLW, LLD, LLL
