Debra has to decide on paint colors for her house. There is a 90% chance she will chose gray for the living room. There is a 70% chance she will chose blue for her bedroom and there is a 75% chance she will choose yellow for the kitchen. Given that there is a 62% chance she has both gray and yellow in her house and a 73% chance she has both blue and yellow in her house what is the probability she chooses gray for the living room given her kitchen is yellow?