Question: A popular media poll revealed that 44% of Australian adults in the 18-34 years category think that ‘Made in Australia' ads boost sales. A different interactive poll showed that 78% of Australian adults in the 18-34 years category use social media. Suppose that 85% of Australian adults in the 18-34 years category think that ‘Made in Australia' ads boost sales or use social media. If an Australian adult in the 18-34 years category is randomly selected:
(a) What is the probability that the person thinks that ‘Made in Australia' ads boost sales and uses social media?
(b) What is the probability that the person thinks that ‘Made in Australia' ads boost sales given that the person does not use social media?
Please be sure to include all workings with your answers.