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(August 3% %) ’lwo ab 69 L4 262917 6 gf‘dég‘ [WEEKS SPrECl'G‘ed) we die Exercise 1 . Roll 2 dice and observe the pair of the number on the ﬁrst die and the number on the second die.
Let A1 2 {doubles} and A2 : {the sum of the two numbers is 6}.
Sketch the sample space, and A1 and A2. How many outcomes are in A1 U A2? 5 : gm») 5 #79346] j Mvﬁl/Cl' A 2, 2/ j'é, 71— A5? (Will/'1), (3,3), -
Wilt/)Jéﬁjﬂé/(O; Exercise 4. (FROM HOMEWORK DUE FRIDAY)
For each of the following relations, determine which is valid for arbitrary events A, B, and 0. (Note: to be true “for arbitrary events”, it must be true for any such event. Use a Venn diagram if it is
helpful.) (On the exam, this was a True / False question. For this homework, show whether it is true or false.)
(AUBVUC)C=IACUBCUCC (AﬂB) U(AﬂBC) U (ACﬂB) = (ACDBC)C (A—B)—C::A—(B—C’). ( AUB)ﬂ(A-CLJBC)=(AnBC)LJ(AcﬂB)LJ(ACﬂBﬂOC) ...

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