A man addresses n envelopes and writes n checks for the payment of n bills. If the bills areplaced at random in the n envelopes, what is the probability that each bill will be placed in thewrong envelope? Derive your answer.

34. Terry puts three different letters randomly in three envelopes with different addresses, Find the probability thatat least one letter is put in the envelope with correct address.

There are 4 letters and 4 addressed envelopes. If each letter is randomly placed in an envelope, the number of ways in which only one letter goes in the wrong envelope isChoices:- 43 4C1+4C2+4C3+4C44C1+4C2+4C3+4C4 4C0+4C1+4C2+4C34C0+4C1+4C2+4C3 0

Bob has n coins in his pocket. One is two-headed, the rest are fair. A coin ispicked at random, lipped, and shows heads. Find the probability that the coinis two-headed

A company audit showed that of 618 bills that were sent out, 380 were paid on time, 144 were paid up to 30 days late, 57 were paid between 31 and 90 days late, and 37 remained unpaid after 90 days. One bill is selected at random.Part: 0 / 20 of 2 Parts CompletePart 1 of 2(a) What is the probability that the bill was paid on time? Round your answer to four decimal places.The probability that the bill was paid on time is 1.6263

here are 4 letters and 4 addressed envelopes. If each letter is randomly placed in an envelope, then in how many ways can wrong choices be made?Choices:- 4^3 4! – 1 16 44-1