(a) 38% of customers at the snack counter of a movie theater buy soft drinks. Among those who buy soft drinks, 58% also purchase popcorn.

• What is the probability that a customer at the counter buys a drink and popcorn? Theaters use this type of calculation to decide which products should be bundled to appeal to customers. Based on the probability so calculated, what is your recommendation whether to bundle the products or not? 
• If the proportion of customer who buys popcorn is 73% . Then find the probability that a customer will buy a popcorn or a soft drink?                                                                                               

            (b) Some electronic devices are better used than new: The failure rate is higher when they are new than when they are six months old. For example, 42.70% half of the personal music players of a particular brand have a flaw. If the player has the flaw, it dies in the first six months. If it does not have this flaw, then only 2.700% fail in the first six months. Yours died after you had it for three months. What are the chances that it has this flaw?