Canady is hosting a ladies tea. During the tea, she will put on a demonstration on how to craft a greeting card. She has 50 beautifully crafted greeting cards as door prizes for the tea. The cards are equally divided into sets with a background color of light green, light blue, light brown, light yellow, and light orange. When a lady enters the room, they randomly select a color and are given a greeting card. The first 10 ladies who enter the room randomly select 4 light green cards and 6 light blue cards. What is the probability that the 11th lady who enters the room will randomly select a light blue card? Enter your answer as a simplified fraction.