Calculation of Star Drop Rate Distribution in FGO

Calculation Formula Source
if(input){baseStarRate=inputStarRate;} /* Direct input */
else{baseStarRate=Class*(1+AGI*offset);} /* Automatic calculation */
p = rounddown(baseStarRate + addStarRate + firstQuickBonus + commandCard * (1 + commandCardBuff / 100) + criticalOffset + downStarRate, 1) / 100;
if(p>3.00){p=3.00;} /* Round down to 300% if it exceeds 300% */
println(p*n, p*100); /* Display expected value and star occurrence rate */
q = rounddown(p, 0); /* Integer part of star occurrence rate */
p = p - q; /* Fractional part of star occurrence rate */
for(x=0; x <= n; x=x+1){ /* Loop for the number of hits */
println(x+q*n, binomialpd(x, n, p)*100); /* Display the probability */
}