MathDB

Adi the Baller is shooting hoops, and makes a shot with probability

p

. He keeps shooting hoops until he misses. The value of

p

that maximizes the chance that he makes between 35 and 69 (inclusive) buckets can be expressed as

\frac{1}{\sqrt{a}}

for a prime

a

and positive integer

b

. Find

a+b

.
Proposed by Minseok Eli Park (wolfpack)

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