161, 170, 350, 319
8,   15,  9,   12

ossz = 161+170+350+319 = 1000

P(g1) = 1447/1000
P(g2) = 122 /1000
P(g3) = 204 /1000
P(g4) = 227 /1000

p(jo|g1) = 92/100
p(jo|g2) = 85/100
p(jo|g3) = 91/100
p(jo|g4) = 88/100

P(g2|jo) = (85/100 * 170/1000) / (92/100 * 161/1000 + 85/100 * 170/1000 + 91/100 * 350/1000 + 88/100 * 319/1000) =
         = 85 * 170 / 92 * 161 + 85 * 170 + 91 * 350 + 88 * 319 =
         = 14450/89184 = 7225/44592