Box I contains 4 red and 8 blue marbles while box II contains 5 red and 3 blue marbles. An unfair coin is tossed –whoseprobability of turning up heads is 40%. If the coin comes up heads, box I is chosen and a random marble is chosen, otherwise if it is tails the marble is chosen from box II.   Find the probability a red marble is chosen.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Box I contains 4 red and 8 blue marbles while box II contains 5 red and 3 blue marbles. An unfair coin is tossed –whoseprobability of turning up heads is 40%. If the coin comes up heads, box I is chosen and a random marble is chosen, otherwise if it is tails the marble is chosen from box II.

 

Find the probability a red marble is chosen.

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