Question:medium

If \(A\) and \(B\) are independent random variables, then which of the following is correct?

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If \(A\) and \(B\) are independent, \[ \boxed{ P(A\mid B)=P(A),\qquad P(A^c\mid B)=P(A^c). } \]
Updated On: Jul 18, 2026
  • \(P(A^c\mid B)=P(A^c)\)
  • \(P(A\mid B)=P(B)\)
  • \(P(A\cup B)=P(A)\,P(B)\)
  • \(P(A^c\cup B^c)=P(A^c)+P(B^c)\)
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The Correct Option is A

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