Could someone please check my work?

conditional probability 1.3) If Two people are randomly chosen from a group that of 8 women and 6 men, what is The probability ( a ) both are women 8+6= 14 people ( 6) both are men ( c) one is a man and the other a woman i probability that and person is woman ( as ( 8 ) ( 13 ) = 156- = 91 2. 31 % probability That 1ST person is women ( 6 ) ( 14 ) ( 73 ) = 182 5 0. 16% > probability woman that /ST person is ( c ) ( 19 ) ( 73 ). = ( 94 ) ( 13 ) = 182 ~0. 26% Laprobability that and person is man probability That 1ST probability. that For 2nel person is person is woman Man