If `A_1, A_2, …, A_n` are n independent events, such that `P(A_i)=(1)/(i+1), i=1, 2,…, n` , then the probability that none of `A_1, A_2, …, A_n` occur, is

If A_1,A_2,....A_n are n independent events such that P(A_k)=1/(k+1),K=1,2,3,....,n; then the probability that none of the n events occur is

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

Let a_1=0 and a_1,a_2,a_3 …. , a_n be real numbers such that |a_i|=|a_(i-1) + 1| for all I then the A.M. Of the number a_1,a_2 ,a_3 …., a_n has the value A where : (a) A lt -1/2 (b) A lt -1 (c) A ge -1/2 (d) A=-2

If a_1,a_2 …. a_n are positive real numbers whose product is a fixed real number c, then the minimum value of 1+a_1 +a_2 +….. + a_(n-1) + a_n is :

If a_1,a_2 …. a_n are positive real numbers whose product is a fixed real number c, then the minimum value of 1+a_1 +a_2 +….. + a_(n-1) + a_n is :

If a_i > 0 for i=1,2,…., n and a_1 a_2 … a_(n=1) , then minimum value of (1+a_1) (1+a_2) ….. (1+a_n) is :

If a_i > 0 for i=1,2,…., n and a_1 a_2 … a_(n=1) , then minimum value of (1+a_1) (1+a_2) ….. (1+a_n) is :