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: To Make Oskar's Solution Work... by Charlie)
You said,
"Suppose there are 2 doves. If the first meeting is between the two hawks, you will survive, and this probability is 1/6."
This is not true, since we ignore meetings between doves. The probability is actually 1/5, which yields the desired answer.