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For the three events "A","B","andC","P"(...

For the three events `"A","B","andC","P"("e x a c t l yo n eo ft h ee v e n t sAorBo c c u r s")="P"("e x a c t l yo n eo ft h ee v e n t sBorCo c c u r s")="P"("e x a c t l yo n eo ft h ee v e n t sCandAo c c u r s")="p"` and`"P"("a l lt h et h r e ee v e n t so c c u rs i m u l t a n e o u s l y")="p"^2,"w h e r e"0<"p"<1//2.` Then, find the probability of occurrence of at least one of the three events `A ,B ,a n dCdot`

A

`( 3 rho + 2 rho ^(2))/(2)`

B

`(rho + 3 rho ^(2))/(4)`

C

`(rho + 3 rho ^(3))/( 2)`

D

`( 3 rho + 2 rho ^(2))/(4)`

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The correct Answer is:
A
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