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Help with weird probability question

A fair coin is to be tossed repeatedly. For integers r and s, not both zero,
let P(r, s) be the probability that a total of r heads are tossed before a total of
s tails are tossed so that P(0, 1) = 1 and P(1, 0) = 0.

Explain why, for r, s ≥ 1,
P(r, s) = (1/2) P(r - 1 , s) + (1/2) P(r, s - 1)

September 29, 2012

2 Comments • Newest first

FaTaLP3NGU1N

[quote=kizox]Grade 12? o.o[/quote]

Yes.
Year 12, MX2

Reply September 29, 2012 - edited
FaTaLP3NGU1N

[quote=BroaCNTB]Fair coin = heads/tails 0.5/0.5?[/quote]

Yes, a fair coin is a coin that has exactly a 0.5 chance of landing on heads and 0.5 chance of landing on tails.

Reply September 29, 2012 - edited