Question

Camila sets up a passcode on her tablet, which allows only nine-digit codes. A spy sneaks a look at Camila's tablet and sees her fingerprints on the screen over nine numbers. What is the probability the spy is able to unlock the tablet on his first try

Answer 1

Answer:

$\frac{1}{10^9}$ probability the spy is able to unlock the tablet on his first try.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

1 correct password, so $D = 1$

Total outcomes:

Nine-digit codes.

For each digit, there are 10 possible outcomes. So

$T = 10^9$

What is the probability the spy is able to unlock the tablet on his first try?

$p = \frac{D}{T} = \frac{1}{10^9}$

$\frac{1}{10^9}$ probability the spy is able to unlock the tablet on his first try.