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400_Q3Soln

400_Q3Soln - Name §OLUTQ Q Ml‘H SC 400 — Quiz 3 A pair...

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Unformatted text preview: Name §OLUTQ Q Ml‘H SC 400 — Quiz 3 A pair of standard dice, one red and one green, are to be tossed and the lip-faces recorded. 1. List each of the 36 possible outcomes (x,y). (Here an outcome means an ordered pair (x,y) where x is the up-face of the red die and y is the up-face of the green die.) =( <1 13 n 73 (1.330 ~43 C3 ,,s3 (3 (.3 (Ln): (7. ,,7.3 (7. 33, (2,11), (7., s), (7. .43 (3.33 ,,Ca, 23, (3,33, (3, U3, (7 ,53, (3.5) (4.13,(42..3,14.s3, (44)(4.63,(4 ‘3 (5, 13, (5.33, (3,33, (6.11),“ 53,6, 6) (a, 13, (tn-1.3 (LA), (5 a), (4,,53 (a ,0} 2 Assuming the outcomes are equally likely, what probability assignment should be made to each outcome in your list above?'{'a{. . 3 Below are described several events. In each one you should ﬁrst list the individual outcomes that make up the event and then give its probability (as a fraction). ‘44. ' ‘4 a. A=“the red die lands 5” 5,0 03,136,!)l£,*l)(5,\$)(5,‘)l P(A)=__ ’ C / b. B: “both dice land on the same number”: i! ”(1!!!(lﬂﬂQﬁggﬁL‘W P(B)— _ 3,, c. AB: AﬂB: {(5.5)} ________________P(AB)= /36 AUB 5, I) “ ,1) (5,323“ “5.5) (5,0 (l,l),(21),(3.3),‘44),« ”2 \ P(AUB): /3. ' VJ/ e. C: “the sum of the spots is 10 or 12”: m.‘ ) “5)“1‘” (QC 1 .P(C)- — 3 : f. P(BC): \$5.5) “,Q 336: Vi? P(BUC)— _?3. ~93“ mmm- New.) : 441‘. .L,8 _ 3‘ 4. If 3 dlce (a red one, a green one, and a white gne) are tossed “‘53 a. What is the size of the sample? ISI = 6 and assuming all members of S‘ are equally likely C i *7 = —-- b. What IS the probability the total on the three dice will be 5? P(Total 1s 5): 6 3‘ 3% £3. a. 7.32 ...
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