Combinatorics
AIME
Basic
2015
In a new school $40$ percent of the students are freshmen, $30$ percent are sophomores, $20$ percent are juniors, and $10$ percent are seniors. All freshmen are required to take Latin, and $80$ percent of the sophomores, $50$ percent of the juniors, and $20$ percent of the seniors elect to take Latin. Find the probability that a randomly chosen Latin student is a sophomore.
The solution for this problem is available for
$0.99.
You can also purchase a pass for all available solutions for
$99.