Dual coin toss!!
To determine which of two people gets a prize, a coin is flipped twice. If the flips are a Head and then a Tail, the first player wins. If the flips are a Tail and then a Head, the second player wins. However, if both coins land the same way, the flips don’t count and whole the process starts over.
Assume that on each flip, a Head comes up with (constant) probability p, regardless of what happened on other flips. Find the probability that the first player wins.
The answer is 0.5.
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1 solution
chances of flip s={hh,ht,th},where first player wins for the chance of {ht},the player loses for the chance {th},the chance {hh} is not under count and is restarts the loop,so s={ht,th} probability of wining =1/2=0.5