If the events `E_1, E_2,………….E_n` are independent and such that `P(E_i^C) = i/(i+1)`, i=1, 2,……n, then find the probability that at least one of the n events occur.

If P(A) = 2/7, P(B) = 6/11, what is the probability that at least one of the two independent events A and B will occur?

If E_(1) ,E_(2),E_(3)…E_(n) be n independent events such that P(Ei)=(1)/(1+i) for 1 le I le n then the chance that none of E_(1),E_(2),E_(3) … E_(n) occur is

If Aa n dB are two independent events such that P(A)=1//2 a n d P(B)=1//5, then

A_1, A_2……….A_n are n independent events such that P(A_i) = 1 - q_i, I = 1, 2, 3…………….n Prove that P[overset(n)underset(i)uuu A_i] = 1 - q_1q_2……….q_n

For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exactly one of B or C occurs) =P (Exactly one of C or A occurs) =1/4 and P (All the three events occur simultaneously) =1/16dot Then the probability that at least one of the events occurs, is :

A_(1), A_(2), …, A_(n) are independent events such that P(A_(i))=1-q_(i), i=1,2, …, n . Prove that, P(A_(1) cup A_(2) cup … cup A_(n))=1-q_(1)q_(2)…q_(n) .

E_(1) and E_(2) are two independent events such that P(E_(1))=0.35 and P(E_(1) cup E_(2))=0.60 , find P(E_(2)) .

If p be occurrence of an event in a single trail, then show that the probability of at least one occurrence in n trials is 1-(1-p)^n .

Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.