D. Zeilberger

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math.PR2025

How many coin tosses would you need until you get $n$ Heads or $m$ Tails?

Svante Janson, Lucy Martinez, Doron Zeilberger

We harness both human ingenuity and the power of symbolic computation to study the number of coin tosses until reaching $n$ Heads or $m$ Tails. We also talk about the closely relat…

math.PR2025

Hitting k primes by dice rolls

Noga Alon, Yaakov Malinovsky, Lucy Martinez +1

Let $S = (d_{1}, d_{2}, d_{3}, \dots)$ be an infinite sequence of rolls of independent fair dice. For an integer $k \geq 1$ , let $L_{k} = L_{k} (S)$ be the smallest $i$ so that there are $k$ inte…

How many coin tosses would you need until you get n Heads or m Tails?

Hitting k primes by dice rolls

How many coin tosses would you need until you get $n$ Heads or $m$ Tails?