Whenever a hawk meets a dove, the dove is killed. Whenever two hawks meet, they fight to death, and both are killed. And if two doves meet, nothing bad happens.
There are H hawks and D doves, and you are either a hawk or a dove. Assuming that meetings are random, what are your chances of survival?
(In reply to
re(2): To Make Oskar's Solution Work... by David Shin)
You are correct. The revised program now takes into consideration that dove/dove encounters do not lose a dove:
5 Num=8
10 dim P(2,Num)
20 for D=1 to Num:P(1,D)=1:next:' zero hawks
30 for H=2 to Num step 2
40 P2h=H*(H-1)//((H+1)*H)
50 P(2,1)=P2h*P(1,1)
51 print P(2,1);
60 for D=2 to Num
70 P2h=H*(H-1)//((H+D)*(H+D-1))
71 P2d=D*(D-1)//((H+D)*(H+D-1))
80 P(2,D)=(P2h*P(1,D)+(1-P2h-P2d)*(D-1)//D*P(2,D-1))//(1-P2d)
85 print P(2,D);
90 next
95 print
97 for D=1 to Num:P(1,D)=P(2,D):next
100 next
1//3 1//3 1//3 1//3 1//3 1//3 1//3 1//3 1//3 1//3
1//5 1//5 1//5 1//5 1//5 1//5 1//5 1//5 1//5 1//5
1//7 1//7 1//7 1//7 1//7 1//7 1//7 1//7 1//7 1//7
1//9 1//9 1//9 1//9 1//9 1//9 1//9 1//9 1//9 1//9
1//11 1//11 1//11 1//11 1//11 1//11 1//11 1//11 1//11 1//11
|
|
Posted by Charlie
on 2004-09-13 20:22:03 |
re(3): To Make Oskar's Solution Work...
