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If A1,A2,A3,........A1006 be independent...

If `A_1,A_2,A_3,........A_1006` be independent events such that `P(A)=1/(2i)(i=1,2,3,.....1006)` and probability that none of the events occur be `(alpha!)/(2^alpha(beta!)^2).` then

A

`beta` is of form `4k+2, k in I`

B

`alpha=2beta`

C

`beta` is a composite number

D

`alpha` is of form `4k, k in I`

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The correct Answer is:
A, B, C, D
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