2 questions: 1. Winer filling 2. Sand studies

Hello Rabbi, I have 2 questions (unrelated to each other)
1. Is it permissible to fill out a winner form like it is permissible to fill out a lottery ticket, or is it considered a game of chance? [A winner is a form where bets are made on sports results]
2. Regarding secular studies – does the rabbi view secular studies (i.e. the physics you studied) as something of independent value or as something that assists in the study of Torah (by becoming familiar with different thinking styles, etc.), and assuming that I see my future in Torah – is it worth investing in secular studies as well? thanks