Consider a domain consisting of three Boolean variables Toothache, Cavity, and Catch. The full joint distribution is a $2\times2\times2$ table as shown below.

	toothache		$\neg$toothache
	catch	$\neg$catch	catch	$\neg$catch
cavity	$0.108$	$0.012$	$0.072$	$0.008$
$\neg$cavity	$0.016$	$0.064$	$0.144$	$0.576$

The probability of a cavity, given evidence of a toothache, $P(cavity\mid toothache)$ is ________.