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20 March, 04:05

When a student is selected at random from a population of high school students, the

probability the student has a smartphone is. 71, the probability the student has a tablet is

.28 and the probability the student has both is. 13. What is the probability a student has a tablet given they have a smartphone. Round to the nearest percent

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Answers (1)
  1. 20 March, 04:23
    0
    Pr (tablet given smartphone) = 18%

    Step-by-step explanation:

    Let:

    probability that the student has a smartphone = Pr (smart phone)

    Pr (smart phone) = 0.71

    the probability that the student has a tablet = Pr (tablet)

    Pr (tablet) = 0.28

    the probability the student has both = Pr (both)

    Pr (both) = 0.13

    the probability a student has a tablet given they have a smartphone = Pr (tablet given smartphone)

    Pr (tablet given smartphone) = Pr (tablet & smartphone) / Pr (smart phone)

    Pr (tablet given smartphone) = 0.13/0.71

    Pr (tablet given smartphone) = 0.183 = 18.3%

    Pr (tablet given smartphone) = 18%
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