Suppose 67% of all teenagers own a laptop and 29% of all teenagers own a laptop and a tablet. What is the probability that a teenager owns a tablet given that the teenager owns a laptop?

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jaciebalboonhanahnah jaciebalboonhanahnah

23-03-2017
Mathematics

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Suppose 67% of all teenagers own a laptop and 29% of all teenagers own a laptop and a tablet. What is the probability that a teenager owns a tablet given that the teenager owns a laptop?

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taskmasters taskmasters · Answer 1 · 2017-04-05T13:33:20+02:00

By Kolmogorov definition of conditional probability, we find the answer through the equation,
P(AIB) = P(A∩B)/ P(B)
where event A is a student owning a tablet and event B is a student owning a laptop. Substituting the known values,
P(AIB) = 0.29/ 0.67 = 0.43
Thus, the probability of a student owning a tablet given that he also owns a laptop is approximately 43%.