There is a 20% chance that Cinderella will lose her left shoe as she s fleeing from the ball, and independently a 30% chance that she II lose her right shoe. If she loses both shoes, it II take the prince 6 days to find her. If she loses only one shoe, it II take the prince 10 days to find her. If she loses neither shoe, it II take the prince 30 days to find her. Write down the (exact) probability distribution of X , the number of days it takes the prince to find her. .