A wholesales stationer stocks heavy (2B) medium (HB), fine (2H) and extra fine(3H) pencils which comes in a pack of 10.currently in stocks are 2 packs of 10. Currently in stock are 2 packs of 3H, 14 packs of 2H, 35 packs of HB and 8 packs of 2B if a pack of pencils is chosen randomly for inspection what is the probability that they are medium, heavy , not very fine , neither heavy nor medium

Respuesta :

Probability of choosing

i) medium type pencil is = 0.593,

ii) heavy type pencil = 0.135

iii) not very fine = 0.966

iv) neither heavy or medium = 1.458

In the question it is given that there are :

             2 packs = extra fine pencil (3H)

             14 packs = fine pencil (2H)

             35 packs = medium pencil (HB)

              8 packs = heavy pencil (2B)

 Total there are 59 packs in that wholesale stocks

  Let , A = extra fine pencil (3H)

           B = fine pencil (2H)

           C = medium pencil (HB)

           D = heavy pencil (2B)

Now we have to find the probability,

       i) P(C) = 35/59 =0.593

      ii) P(D) = 8/59 = 0.135

      iii) P(A) = 1-(2/59) =0.966

      iv) P(D ∩ C) = 1- P(D U C )

                            = 1 – [P(D) + P(C)]       (As they are disjoint events)

                            = 1- [ (8/59) – (35/59)]

                            = 1 + (27/59)

                            = 1.458

Hence, probability of choosing pencil of type

i) medium = 0.593,

ii) heavy  = 0.135

iii) not very fine = 0.966

iv) neither heavy or medium = 1.458

Learn more about probability here : https://brainly.com/question/25870256

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