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ash1213 Group Title

If a given day is wet, the probability that the following day will also be wet is 0.8. If a given day is dry the probability that the following day will be dry is 0.6. Given that wednesday of a partciular week is dry work out the following; a)thursday and friday of the same week are wet days b)friday of the same week is a wet day c) In one season there were 44 cricket matches, each played over three consecutive days, in which the first and third days were dry. For how many of these matches would you expect the second day was wet?

  • one year ago
  • one year ago

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  1. sauravshakya Group Title
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    P(thursday and friday of the same week are wet days/Wednesday is dry) =(1-0.6)*0.8

    • one year ago
  2. sauravshakya Group Title
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    P(friday of the same week is a wet day/Wednesday is dry) =0.6 * (1-0.6) + (1-0.6)*0.8

    • one year ago
  3. ash1213 Group Title
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    how did u solve for a?

    • one year ago
  4. sauravshakya Group Title
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    It is a conditional probability. And the given condition is that Wedenesday is wet.

    • one year ago
  5. sauravshakya Group Title
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    So, the probability that Thursday will be wet is (1-0.6) And if Thursday will be wet the probability Friday will also be wet is 0.8. S0, for (a) it is (1-06)*0.8

    • one year ago
  6. ash1213 Group Title
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    which formula did you use like P(A/B)=P(A intersection B)/P(B) isnt this the formula for conditional probability?

    • one year ago
  7. sauravshakya Group Title
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    Yes but not in this case.

    • one year ago
  8. sauravshakya Group Title
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    Because we are given: P(next day is dry/today is dry)=0.6 P(next day is wet/today is wet)=0.8

    • one year ago
  9. sauravshakya Group Title
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    got it?

    • one year ago
  10. ash1213 Group Title
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    yes !!Thanks !! n wat abt part c?

    • one year ago
  11. sauravshakya Group Title
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    Isnt it (1-0.6)*(1-0.8)*44

    • one year ago
  12. ash1213 Group Title
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    answer is 8

    • one year ago
  13. sauravshakya Group Title
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    It is ( Dry,Wet, Dry)/{(Dry,Dry,Dry) + (Dry, Wet , Dry))} *44 1*(1-0.6) * (1-0.8)/{(1*0.6*0.6) + (1* (1-0.6) * (1-0.8) }*44 =8

    • one year ago
  14. ash1213 Group Title
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    ok thanks

    • one year ago
  15. sauravshakya Group Title
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    welcome

    • one year ago
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