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JEE Math Practice Question

Let A and B be independent events such that P(A) = p, P(B) = 2p. The largest value of p, for which P (exactly one of A, B occurs) = $${5 \over 9}$$, is :

  1. A.$${1 \over 3}$$
  2. B.$${2 \over 9}$$
  3. C.$${4 \over 9}$$
  4. D.$${5 \over 12}$$

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