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Consider a coin that comes up heads with probability 1 / 3 and, thus, tails with probability 2 / 3 . Consider the following recursive
Consider a coin that comes up heads with probability and, thus, tails with probability
Consider the following recursive algorithm Heads, which takes as input a positive
integer k:
Algorithm Headsk:
all coin flips made are mutually independent
flip the coin;
if the coin came up heads
then return k
else Headsk
endif
You run algorithm Heads ie with k Define the random variable X to be the value
of the output of this algorithm. Let m be an integer. What is PrX m
am
m
bm
cm
m
dm
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