Final answer:
The Supreme Court has ruled that the reading of a nondenominational prayer at the start of the school day violates the Establishment Clause. Prayer initiated and led by students in public schools is also considered a violation. While students are allowed to pray voluntarily, any prayer organized or facilitated by school authorities is considered an illegal establishment of religion.
Step-by-step explanation:
The Supreme Court has consistently held that the reading of a nondenominational prayer at the start of the school day violates the Establishment Clause of the First Amendment.
The Establishment Clause prohibits the government from endorsing or promoting any particular religion. In the case of Santa Fe Independent School District v. Doe, the Court ruled that prayer initiated and led by students in public schools also violates the Establishment Clause.
While a school cannot prohibit voluntary, non-disruptive prayer by its students, any prayer organized or facilitated by school authorities, including teachers or coaches, constitutes an illegal establishment of religion.
The Court has also noted that such prayers can create an environment where nonbelieving students may feel compelled or coerced to participate, violating their rights to religious freedom.