Question

Thomas, Jenna, and Maria are playing a game. They have a bag that contains 37 white tiles and 4 red tiles. Each player takes turns picking a tile at random and does not return the tiles to the bag. The player who draws a red tile first is the winner. In the first round, Thomas goes first, then Jenna, and then Maria, and none of them draws a red tile. What is the probability that Thomas will win the game on his second turn?

Answer 1

$|\Omega|=37+4-3=38\\ |A|=4\\\\ P(A)=\dfrac{4}{38}=\dfrac{2}{19}$