Question Number 123254 by Maclaurin Stickker last updated on 24/Nov/20
$${A}\:{patient}\:{get}\:{a}\:{test}\:{for}\:{a}\:{disease}\:{that}\: \\ $$$${indicates}\:{positive}\:{in}\:\mathrm{95\%}\:{of}\:{cases}\:{when} \\ $$$${the}\:{patient}\:{has}\:{the}\:{disease}\:{and}\:\mathrm{10\%} \\ $$$${when}\:{the}\:{patient}\:{isn}'{t}\:{sick}.\:{What}\:{is} \\ $$$${the}\:{probability}\:{he}'{s}\:{not}\:{sick},\:{knowing} \\ $$$${that}\:{the}\:{test}\:{is}\:{positive}? \\ $$