(c) Someone has stolen an ATM card and knows that the first and last digits of the PIN are 8 and 3, respectively. He has three tries before the card is retained by the ATM (but does not realize that). 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 third try (the individual knows about the restrictions described in (b) so selects only from the legitimate possibilities). What is the probability that the individual gains access to the account? (Round your answer to four decimal places.)

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter16: Electromagnetic Waves
Section: Chapter Questions
Problem 78P: The prefix “mega” (M) and “kilo” (k), when referring to amounts of computer data, refer to factors...
Question
(c) Someone has stolen an ATM card and
knows that the first and last digits of the
PIN are 8 and 3, respectively. He has three
tries before the card is retained by the
ATM (but does not realize that). 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 third try (the individual knows about
the restrictions described in (b) so selects
only from the legitimate possibilities).
What is the probability that the individual
gains access to the account? (Round your
answer to four decimal places.)
Transcribed Image Text:(c) Someone has stolen an ATM card and knows that the first and last digits of the PIN are 8 and 3, respectively. He has three tries before the card is retained by the ATM (but does not realize that). 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 third try (the individual knows about the restrictions described in (b) so selects only from the legitimate possibilities). What is the probability that the individual gains access to the account? (Round your answer to four decimal places.)
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