10. (3 points) 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. However, 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 correct date for the movie is $\qquad \%$?
【Answer】Solution: Xiao Ming believes there are two correct situations: (1) The class leader is correct, and Xiao Ming is correct, which is $(1-10 \% ） \times$
$$
(1-10 \%)=81 \% \text {; }
$$
(2) Both are wrong, $10 \% \times 10 \%=1 \%$.
So in total, $81 \%+1 \%=82 \%$.
Therefore, the answer is 82.