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A mathematical puzzle whose essential nature involves randomness. Use with [mathematics]
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Clash of arrows
and subtract it from P , following this rule:
$P1 \bigcup P2 = P1+P2-P1 \bigcap P2$
so probability of the arrows to be in ollision is
$P = p_1+ ... + p_{n-1} - P_1 \bigcap .... … \bigcap P_{n-1}$
The global form of the probability for any arrow i to be hit by atleast one among n-1-i arrows coming from counter-clockwise direction is:
$U_m=
\frac{(1-U_{m-1})}{\frac{(n-2)\ …