Suppose that, starting at a certain time, batteries coming off an assembly line are examined one by one to see whether they are defective (let
D = defective and
N = not defective). The chance experiment terminates as soon as two nondefective batteries have been obtained.
(a) Let
A denote the event that at most
four batteries must be examined to terminate the chance experiment. What outcomes are contained in
A?
(b) Let
B be the event that exactly four batteries must be examined before the chance experiment terminates. What outcomes are in
B?
(c) What can be said about the number of possible outcomes for this chance experiment?
There are
number of possible outcomes.