You have just graduated from LUMS with a very respectable CGPA and are now applying for jobs. Suppose you have 10 copies of your CV, each customized for a particular job description, and 10 envelopes addressed to prospective employers according to the said job description (e.g. your customized CV for application to the Nestle MT program must be placed in the envelope addressed to Nestle HR and your CV for the Unilever MT program must be placed in the envelope addressed to Unilever Pakistan). Assume you randomly place each CV in an envelope without reading the address on it.
a) What is the probability that the any one CV is placed in the correct envelope? Any two? Any three?
b) What is the probability that all are placed in the correct envelope?
c) What is the probability that none are placed in the correct envelope?
d) What is the probability that exactly 6 are placed in the correct envelope?