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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Chapter1: Combinatorial Analysis
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2 A fair dodecahedral die numbered 1, 2, 3, 4,
8, 9, 16, 27, 32, 81, 243 and 729 is thrown
and the number noted.
4
The events C, “throw an odd number",
and D, "throw an even number", are
represented on the Venn diagram below:
C
1 3
4
729
8.
27 81 243
16
32
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.
Transcribed Image Text:2 A fair dodecahedral die numbered 1, 2, 3, 4, 8, 9, 16, 27, 32, 81, 243 and 729 is thrown and the number noted. 4 The events C, “throw an odd number", and D, "throw an even number", are represented on the Venn diagram below: C 1 3 4 729 8. 27 81 243 16 32 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.
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