Specify sample spaces for the random experiments (a)-(e) andgive mathematical descriptions of the corresponding events. (a)Experiment: A coin is tossed three times. Event: The result of thesecond toss is “heads”. (b) Experiment: Three indistinguishablecoins are tossed at the same time. Event: At most two of the coinsshow “heads”. (c) Experiment: A die is rolled until each number hasappeared at least once. The outcome is the number of rolls needed.Event: Less than 15 rolls are needed. (d) Experiment: n deviceslabeled with 1, . . . , n are inspected. It is of interest whichdevices are working and which are not. Event: The first threedevices are defective. (e) Experiment: n devices are inspected.Interest lies in the number of defective devices. Event: Exactlythree devices are defective.
