ball is drawn from one of three urns depending on the outcome of a roll of a dice. If the dice shows a 1 or 2, a ball is drawn from Urn I, which contains 2 black balls and 3 white balls. If the dice shows a 3, 4, or 5 a ball is drawn from Urn II, which contains 1 black ball and 3 white balls. If the dice shows a 6, a ball is drawn from Urn III, which contains 1 black ball and 2 white balls. (i) What is the probability to draw a white ball?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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ball is drawn from one of three urns depending on the outcome of a roll of a dice. If the dice shows a 1 or 2, a ball is drawn from Urn I, which contains 2 black balls and 3 white balls. If the dice shows a 3, 4, or 5 a ball is drawn from Urn II, which contains 1 black ball and 3 white balls. If the dice shows a 6, a ball is drawn from Urn III, which contains 1 black ball and 2 white balls.

(i) What is the probability to draw a white ball? 

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