In the "Pick a Number" game, there is a bag containing the numbers 1, 2, 3, 4, 5, 6, 7 with one number on each tile. There is a second bag containing the numbers 8, 10, 12, 13, 16. A player randomly selects a tile from the first bag and then a tile from the second bag. The player wins the game if they select two odd number tiles. Use any appropriate strategy to determine the probability of winning the game. Express your answer as a percentage rounded to the nearest tenth.