2 Probability questions help!

Can someone please help me!

1) A committee of 2 people is being selected from 3 women and 2 men by choosing name out of a hat one at a time. Determine the probability of a man being chosen given that the first name chosen is female?

I got 3/10 can someone confirm it or correct my answer.

2)Statistics show that a team has 30% chance of winning if it loses the previous game and 60% chance of winning if it wins its previous game. If the chance of winning its first game of the season is 65% determine the prob in three games, that it will win its first and third games? I got 31% and 59% (i don't know if any of then are right)