Mathematics - Probability - Compound Events - Independent and dependent events - Does the First Draw Matter?

Scenario: A bag has 5 red and 5 blue marbles. You draw one marble. Branch 1: You put it back (replacement), draw again. Branch 2: You keep it (no replacement), draw again. At each branch, show the probabilities changing. In Branch 1, P(red 2nd draw) stays 5/10. In Branch 2, if first was red, P(red 2