Question

CODES Use the following information to solve. A bank gives each new customer a 4-digit code number which allows the new customer to create

their own password. The code number is assigned randomly from the digits 1, 3, 5, and 7, and no digit is repeated.
• What is the probability that the code number will start with 371?
a 1/3
b 1/4
с 1/12
d 1/24

Answer 1

Answer: D) 1/24

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Step-by-step explanation:

There are 4 digits to pick from and 4 slots to fill, so there are 4! = 4*3*2*1 = 24 different codes possible.

If we want the code to start with 371, then that must mean 5 is the only thing left for that fourth slot. In short, there's only one code that starts with 371 and that code is 3715

We have one code we want (3715) out of 24 total, which is why the answer is 1/24 (choice D)