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Exercice 19

                            M           A

                         180    120    40

                                        60

    (a) P(M ∩ A)


                   P(M ∩ A) = P(M) − P(M ∩ A)
                              300 120     180
                            =    −      =     = 0, 45
                              400 400 400
Exercice 19 (suite..)
    (b) P(M ∪ A)


                                  180 + 120 + 40
                        P(M ∪ A) =
                                       400
                                  300
                                =     = 0, 85
                                  400

    (c) P(M ∩ A)


                   P(M ∩ A) = P(M ∪ A) = 1 − P(M ∪ A)
                                                   60
                            = 1 − 0, 85 = 0, 15 =
                                                  400

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Ch30 19

  • 1. Exercice 19 M A 180 120 40 60 (a) P(M ∩ A) P(M ∩ A) = P(M) − P(M ∩ A) 300 120 180 = − = = 0, 45 400 400 400
  • 2. Exercice 19 (suite..) (b) P(M ∪ A) 180 + 120 + 40 P(M ∪ A) = 400 300 = = 0, 85 400 (c) P(M ∩ A) P(M ∩ A) = P(M ∪ A) = 1 − P(M ∪ A) 60 = 1 − 0, 85 = 0, 15 = 400