4. A person wins a contest in which he gets a free trip from San Diego (SD) to New York (NY) via Los Angeles (LA) and Chicago (CH). He has a choice of two buses from SD to LA. Once in LA, he has a choice of 3 plane flights to CH, and upon arrival in CH he has a choice of 2 trains to NY. Let B be the event that he catches bus /(-1,2), P the event that he catches plane /(1,2,3), and I the event that he catches train i(F1,2). Express the following in terms of B, P, T (a) the event that the person gets to NY; and (b) the event that the person does not get to NY.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 4E: Let E and F be events in a sample space S. aThe probability of E and F occurring is...
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4. A person wins a contest in which he gets a free trip from San Diego (SD) to New York (NY) via Los
Angeles (LA) and Chicago (CH). He has a choice of two buses from SD to LA. Once in LA, he has a
choice of 3 plane flights to CH, and upon arrival in CH he has a choice of 2 trains to NY. Let B be
the event that he catches bus /(-1,2), P the event that he catches plane /(-1,2,3), and I the
event that he catches train i(F1,2). Express the following in terms of B, P, T: (a) the event that
the person gets to NY; and (b) the event that the person does not get to NY.
Transcribed Image Text:4. A person wins a contest in which he gets a free trip from San Diego (SD) to New York (NY) via Los Angeles (LA) and Chicago (CH). He has a choice of two buses from SD to LA. Once in LA, he has a choice of 3 plane flights to CH, and upon arrival in CH he has a choice of 2 trains to NY. Let B be the event that he catches bus /(-1,2), P the event that he catches plane /(-1,2,3), and I the event that he catches train i(F1,2). Express the following in terms of B, P, T: (a) the event that the person gets to NY; and (b) the event that the person does not get to NY.
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