5.12 A twelve-sided die is rolled. Suppose that the following events arc \( \mathrm{A}=\{ \) multiples of 3\( \} \) and \( \mathrm{B}=\{ \) multiples of 2\( \} \) 5.12.1 Draw a Venn Diagram to illustrate the information above. 5.12.2 Use your Venn diagram to determine: \( \begin{array}{ll}\text { (a) } \mathrm{P}((\text { not } \mathrm{A}) \text { and B }) & \text { (2) } \mathrm{L} 3 \\ \text { (b) } \mathrm{P}(\mathrm{A} \text { and }(\text { not B })) & \text { (2) } \mathrm{L} 3 \\ \text { (c) } \mathrm{P}((\text { not } \mathrm{A}) \text { or B }) & \text { (2) } \mathrm{L} 3 \\ \text { (d) } \mathrm{P}(\mathrm{A} \text { or }(\text { not B })) & \text { (2) L3 }\end{array} \)
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