A student applies to four colleges, all of which decide admissions through random lotteries. The probability of admissions to each college in given int the table below. If the student applies to all four of these colleges, what is the probability that he is admitted to at least one of them? Express your answer as a fraction in the simplest form.
(The answer I got is 2/5, 40%) I just wanted to check if my answer is correct before submitting it.
Cardwell College: 1/7
Broome College: 1/8
Collaboration Institute: 1/9
University of sandwich: 1/10
(This is a real question, please help)