Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randomly selected​ (with replacement). Find the probability that for one such phone​ number, the last four digits include at least one 0.

Answer:probability at least one zero is 0.3439Step-by-step explanation:given data last four digits = randomly selected​to find out probability that for one such phone​ number the last four digits include at least one 0.solutionwe know there are total 10 digitso we first find probability of non zero digit i.e.Probability  ( non zero ) = 9 /10 = 0.9and now we find probability of none of digit zero  only event happen n= 4 time in a row by multiplication rules i.eProbability ( none zero in 4 digit ) = [tex]0.9^{n}[/tex]Probability ( none zero in 4 digit ) = [tex]0.9^{4}[/tex]Probability ( none zero in 4 digit ) = 0.6561so we can say probability at least one zero = 1 - Probability ( none zero in 4 digit )   probability at least one zero = 1 - 0.6561probability at least one zero is 0.3439