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EXAM P SAMPLE SOLUTIONS - soa.org

Page 1 of 91 SOCIETY OF ACTUARIES EXAM P PROBABILITY EXAM P SAMPLE SOLUTIONS Copyright 2018 by the Society of Actuaries Some of the questions in this study note are taken from past examinations. Some of the questions have been reformatted from previous versions of this note. Questions 154-55 were added in October 2014. Questions 156-206 were added January 2015. Questions 207-237 were added April 2015. Questions 238-240 were added May 2015. Questions 241-242 were added November 2015. Questions 243-326 were added September 2016.

For i = 1,2, let R i = event that a red ball is drawn from urn i and let B i = event that a blue ball is drawn from urn i. Then, if x is the number of blue balls in urn 2,

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