Mathew rolls a number cube labeled with the numbers 1-6 . he then flips a fair coin . what is the probability that he rolls a 4 and flips a head ?

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.