Events are independent?

Discrete Mathematics Level 2

Let \(E_1,E_2,E_3,....,E_n \) be \(n\) independent events such that \(P(E_i)=\dfrac{1}{i+1}\) for \(i=1,2,3,...,n. \) What will be the probability that at least one of the events occurs ?

Note: \(P(A) \) denotes the probability of occurrence of event \(A. \)