ch01 JWBK035-Vince February 22, 2007 21 : 43 Char Count= 0
The Random Process and Gambling Theory 9Combination ProbabilityH2 .25 *
T1H1 .50 **T2 (^25)
The asterisks to the right show how many different ways the combi-
nation can be made.For examplein the above two-coinflip there are two
asterisks for T1H1, since there are two different ways toget this combina-
tion.Coin A could be heads and coinBtails, or the reverse, coinAtails
and coin B heads.The total number of asterisksin the table (four)is the to-
tal number of different combinations you canget when flippingthat many
coins (two).
If we were to flip three coins, we would have:
Combination Probability
H3 .125
H2T1 (^375)
T2H1 .375
T3 (^125)
for four coins:
Combination Probability
H4 .0625
H3T1 .25
H2T2 .375 **
T3H1 .25
T4 .0625
and for sixcoins:
Combination Probability
H6 .0156
H5T1 .0937 **
H4T2 .2344 *
H3T3 .3125 ****
T4H2 .2344 *
T5H1 .0937 **
T6 .0156 *