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6. Suppose that you performed an experiment in which all the outcomes were equally likely. Use the classical interpretation of probability from Theorem 2 to explain why Theorem 4 is true. 7. A student is randomly selected from a class where 35% of the class is left-handed and 50% are sophomores. We further know that 5% of the class consists of left-handed sophomores. (a) What is the probability of selecting a student is either left handed OR a sophomore? (b) What is the probability of selecting a right-handed sophomore? 8. Refer to the figure below to show that P(An Bn C) = P(A) × P(B) × P(C) does not necessarily imply that A, B, and C are all pairwise independent. See page 44 of the textbook for more details of pairwise independence 0.24 0.06 0.18 0.24 0.06 0.14 0.06 0.02

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20% |50 一个。TAT 35 % ニ0.35 to .50-o-05 haud p(A> = 0.06 to.24 t0.24 t0.06 -C). r(D =0.18 to. 24 +0.24+0.4:0.8 p/AQB) 0.24+0.24 =O.48dves not necess A e ae all

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Please answer the question clearly 6. Suppose that you performed an experiment in which all the...
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