Kiara sets up a passcode on her tablet, which allows only eight-digit codes. A spy sneaks a look at Kiara's tablet and sees her fingerprints on the screen over eight numbers. What is the probability the spy is able to unlock the tablet on his first try? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth

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MrRoyal MrRoyal · Answer 1 · 2022-04-08T11:42:02+02:00

The probability the spy unlocks the tablet is the likelihood of unlocking the tablet.

The probability the spy is able to unlock the tablet on his first try is 0.00000001

The length of the pass-code is:

Length = 8 digits

There are 10 numerical digits i.e 0 - 9

So, the number (n) of passcode combination is:

n = 10^8

Only one passcode can unlock the tablet.

So, the probability of unlocking the tablet at the first try is:

P = 1/10^8

Evaluate the quotient

P = 0.00000001

Hence, the probability the spy is able to unlock the tablet on his first try is 0.00000001