Question #3 [11 mar-Its] Roulette is a popular casino game where a ball spins on circular wheel and lands on one of the numbers (11.0.1.2.3p...\" (i.e. there are 38 numbers on the wheel). Each of the numbers also takes on one of the colours green. red. or black. a. Consider unspecied events A and B. Shade in the appropriate area of the given Venn diagram representing A'nB'. "V b. Suppose that: Event A : {hlurhma'rad' numhc} Event B: {bllallhman'odd' rumba} = {1.8.5,7.....86} Note: In Roulette. {l,l,5....85} are considered odd numbers. {2.4.0.8.....M} are considered even numbers. and {ELM} are considered neither even nor odd. 50. B' is not an even number (it's a non-odd number). Given that 9(4) = %. HR) = %, and HAP! B) = 1%. use this information and probability formulas to determine each of the following probabilities as exact values. Be sure to show the formulas used and interpret each result. i. HAUB) ii. HA'nB') iii. HAIR) iv. HBIAUB) [Hint: Use Bayes' Rule]