2 A fair dodecahedral die numbered I, 2, 3, 8, 9, 16, 27, 32, 81, 243 and 729 is thrown and the number noted. The events C, "throw an odd number", and D, "throw an even number", are represented on the Venn diagram below: U C 1 39 729 27 81 243 16 D. a Find P(C), P(D), P(C D) and P(CU D). b Hence show that P(CU D) = P(C) + P(D). %3D C State with a reason whether events C and D are mutually exclusive. 32 28

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