In a new game designed by a developer, players can choose between two character types: warrior and mage, with probabilities of selection being and , respectively. Players then choose between two types of equipment: a sword or a staff. If a player chooses the warrior character, there is a chance that they will select a sword, whereas if they choose the mage character, there is a chance they will select a staff. Based on this information, answer the given subquestions.
Question
What is the probability that a player chooses a warrior character with the staff? Enter the answer correct to two decimal places.