The manager at Mugg & Bean has been recording the behaviour of their customers with regards to coffee and muffins. The manager established that that the probability that a customer will buy a cup of coffee is 0.8. A customer buys a muffin 50% of the time when a cup of coffee is bought, but only 10% of the time when a cup of coffee is not bought. What is the probability of buying a cup of coffee and a muffin (rounded off to two decimals)?