Se P ( A ) = 0.3 , P ( B ) = 0.2 , P ( A nn B ) = 0.1 , d e t e r m i n e a s s e g u i n t e s p r o b a b i l i d a d e s :

  1. P ( A ' )
  2. P ( A uuu B )
  3. P ( A ' nn B )
  4. P ( A nn B ' )
  5. P ( [ A uuu B ' ] )
  6. P ( A ' uuu B )

Passo 1

Presumimos que:

P ( A ) = 0.3 , P ( B ) = 0.2 , P ( A nn B ) = 0.1

Letra a:

P ( A ' ) = 1 - P ( A ) = 0.7

Passo 2

Na letra b:

P ( A uuu B ) = P ( A ) + P ( B ) - P ( A nn B ) = 0.4

Passo 3

Na letra c:

P ( A ' nn B ) = P ( B ) - P ( A nn B ) = 0.1

Passo 4

Na letra d :

P ( A nn B ' ) = P ( A ) - P ( A nn B ) = 0.2

Passo 5

Na letra e:

P ( [ A uuu B ' ] ) = 1 - P ( A uuu B ) = 0.6

Passo 6

Na letra f:

P ( A ' uuu B ) = 1 - P ( A nn B ' ) = 0.8

Resposta

  1. P ( A ' ) = 0.7
  2. P ( A uuu B ) = 0.4
  3. P ( A ' nn B ) = 0.1
  4. P ( A nn B ' ) = 0.2
  5. P ( [ A uuu B ' ] ) = 0.6
  6. P ( A ' uuu B ) = 0.8

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