Final answer:
The probability that all three students were born on Wednesday is 1/343.
Step-by-step explanation:
To find the probability that all three students were born on Wednesday, we need to consider the total number of possible outcomes and the number of favorable outcomes.
There are 7 days in a week, so each student has a 1/7 chance of being born on Wednesday. Since the students are chosen at random and the choices are independent, we can multiply the probabilities together to find the probability that all three students were born on Wednesday:
P(all three born on Wednesday) = (1/7) * (1/7) * (1/7) = 1/343.