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4.31. P(E 1 and B) = P(E 1 |B) P(B) = 0.25(0.30) = 0.075 P(E 1 or B) = P(E 1 ) + P(B) -

4.31.

  1. P(E1 and B) = P(E1|B) P(B) = 0.25(0.30) = 0.075
  2. P(E1 or B) = P(E1) + P(B) - P(E1 and B) = 0.35 + 0.30 -0.075 = 0.575
  3. P(E1 and E2 and E3) = P(E1)P(E2) P(E3) = 0.35(0.15)( 0.40) = 0.021

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