90. The school plans to organize a movie for the students on January 4th or January 10th. After the date is determined, the teacher informs the class president, but due to the similar pronunciation of “four” and “ten,” there is a $10 \%$ chance that the class president will hear it incorrectly (mistaking 4 for 10 or 10 for 4). The class president then tells the date to Xiaoming, who also has a $10 \%$ chance of hearing it incorrectly. What is the probability that Xiaoming believes the movie date is correct? $\qquad$ $\%$.
Answer: 82