Problem 3 A pmfmmr hopes to identify students in her class by the last ti digits 0! their UlN. Immune each oi the 1001'!\" congurations Hill] to 9999 are equally likely. (3.) Provide an exprmsion for the prolmhility that at [out tum students in a class of since u share the same 4 digits. (1)) The professor has 15 students in her class. What is the chance that at least two have the same last 4 digits? (0) What is the smallest class size [or which the probability that at iemt two students have the same 4 digits is at least 0.1