# Solved: O453 PontsPre Ans Dev 2E04 An ATM Personal Identification Number (PIN) Consists Of Four Digits, Each A 0, 1, 2.8, Or 9, In Succession (a) How Many Different Possible PINs Are There If There Ar

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O453 pontsPre Ans Dev 2E04 An ATM personal Identification number (PIN) consists of four digits, each a 0, 1, 2.8, or 9, in succession (a) How many different possible PINs are there if there are no restrictions on the choice of digits? 10,000 PINS (b) According to a representative at the author's local branch of Chase Bank, there are in fact restrictions on the choice of digits. The following choices are prohibited 1. all four digits identical 2. sequences of four consecutive ascending or descending digits, such as 6543 3. any sequence starting with 19 (birth years are too easy to guess) .. So If one of the PENS in (a) is randomly selected, what is the probabiity that it will be a legitimate PIN (that is, not be one of the prohibited sequences) Someone has stolen an ATM card and knows that the frst and lest digits of the PEN are 5 and 1, respectively, He has three tries before the card is retained by the ATM ut does not realine tha) So he randomly selects the 2nd and 3rd digits for the first try, then randomly selects a different pair of digits for the second try, and yet another randomly selected pair of digits for the thind try (the individual knows about the restrictions described in (b) so selects only from the legitimate possibeities). What is the probabiity that the individual gains access to the account? (Round your answer to four decimal places.) (d) Recalculate the probability in (c) if the first and last digits are 1 and 1, respectively. (Round your answer to four decimal places.) Need Help? Tal to a Tuten Reed in My Notes O Ask Yor Tachn O1320 points P us Ar evoretan 2 E 03 Consider Uttle League team that has 15 players on its roster e5sr