Final answer:
The question explores the probability of a shared birthday among 10 students, which can be answered by the pigeonhole principle, indicating at least two students must share a birthday, giving a probability of 1.
Step-by-step explanation:
The question asks about the probability of two students being born on the same day of the week out of 10 students. This is a classic problem in probability theory and can be approached using the concept of the pigeonhole principle or combinatorics.
To solve problems like this, one usually has to consider all possible outcomes and the favorable outcomes that meet the specified condition. Since the question does not require an exact calculation but an understanding of the concept, we can assume that with 10 students and 7 days in a week, by the pigeonhole principle, at least two students must share a birthday, making the probability 1 or certain (though this is not a formal calculation).
If we were searching for the exact probability of at least two students sharing a birthday, we would have to use probability principles to calculate the complementary probability (the probability that no two students share a birthday) and subtract it from 1.