Monte Carlo method for Pi

#!/bin/bash

cordx=0
cordy=0
truecount=0
totalcount=0
radius=0

counts=40000 ## SET HERE NUMBER OF POINTS TO TEST

while [ $counts -gt $totalcount ]; do

    cordx=$RANDOM
    cordy=$RANDOM

    radius=$(echo "sqrt( $cordy ^2 + $cordx ^2)" | bc)

    if [ $radius -lt 32768 ]; then
        truecount=$(( $truecount + 1 ))
    fi

    totalcount=$(( $totalcount + 1 ))

done

echo "TOTAL COUNTS: $truecount"
echo "TRUE COUNTS: $totalcount"

echo -n "RATIO (percent): "
echo "scale=10; ( $truecount/$totalcount ) * 100" | bc

echo -n "Pi: "
echo "scale=10; ( $truecount/$totalcount ) * 4" | bc

exit 0