SOLUTION: 6. A security code consists of a person’s first and last initials followed by four digits. a) What is the probability of guessing a person’s security code on the first try? [3]

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Question 1079212: 6. A security code consists of a person’s first and last initials followed by four digits.
a) What is the probability of guessing a person’s security code on the first try? [3]
b) What is the probability of not guessing a person’s security code on the first try? [2]
c) You know a person’s first name and that the last digit is odd. What is the probability of guessing this person’s security code on the first try?
d) Are the statements in parts (a)–(c) examples of classical probability, empirical probability, or subjective probability? Explain your reasoning

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So look at the number of possible codes.
Assume you can repeat letters and digits.
N=26%2A26%2A10%2A10%2A10%2A10=6760000
a) Only one of those outcomes is correct so
P=1%2F6760000
b) Again only one is correct, all others incorrect,
P=%286760000-1%29%2F6760000=6759999%2F6760000
c)So then the number of outcomes reduces to N=10%2A10%2A10%2A5=5000 so the probability of guessing correctly is,
N=1%2F5000
d) Classical