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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Consider the situation, but this time let us define the sample space clearly. Suppose that one child is older, and the other is younger, their gender is independent of their age, and the child you meet is one or the other with probabilities 1/2 and 1/2.
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(a) List all the outcomes in this sample space. Each outcome should tell the children’s gender, which child is older, and which child you have met.
(b) Show that unconditional probabilities of outcomes BB, BG, and GB are equal.
(c) Show that conditional probabilities of BB, BG, and GB, after you met Leo, are not equal. (d) Show that the conditional probability that Leo has a brother is 1/2.
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