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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. `(n)/(n+1)`
B. `(1)/(n+1)`
C. `(n)/((n+1)(n+2))`
D. none of these

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