Suppose you are the Customer Services Manager for a major hotel in Wellington, and part of the job involves handling customer complaints. You are aware that 50% of the clientele of your hotel are travelling sales consultants, 40% are families on holiday, and 10% are policy advisors to the government. Past records indicate that 10% of the sales consultants regularly lodge complaints during their stay, while complaints are received by 30% of the families, and all of the policy advisors. While you are away from your desk on a coffee break, a client calls with a complaint. Your assistant takes the message, but forgets to note who made the complaint. What is the probability that the complaint was made by a family that was on holiday?