According to the precedent santa fe school district v. for a teacher who allows a student to lead a prayer

At a high school baseball game would most probably be governed unconstitutional, because the game is affiliated with the school, is the right answer.

Explanation:

Santa Fe School District v. Doe was a lawsuit that was heard before the Supreme court of the United States. According to the ruling of the case, a method of allowing student-led, student-initiated thanksgiving at high school football sports infringes  First Amendment's Establishment Clause.

no questions on whether they are allowed that right

answer; randomized controlled trials;