If X and Y are the independent random variables B (5, 1 2 ) and B (7, 1 2 ) , then P ( X…

Mathematics · JEE Main · NTA ExamsStatistics and Probability

If X and Y are the independent random variables B \(\left(5, \frac{1}{2}\right) \text { and } \mathrm{B}\left(7, \frac{1}{2}\right) \text {, then } \mathrm{P}(\mathrm{X}+\mathrm{Y} \geq 1)=\)
  1. \(\frac{4095}{4096}\)
  2. \(\frac{309}{4096}\)
  3. \(\frac{4032}{4096}\)
  4. none of these

Answer

(A) 4095 4096

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