Answer: 0.001
Step-by-step explanation:
Given
The lock has 3 dials, each with the number 0 through 9.
The first place can be filled in 10 ways and the probability of selecting number '4' out of the 10 is [tex]\frac{1}{10}[/tex]
Similarly for selecting '3' and '9' is also [tex]\frac{1}{10}[/tex]
Therefore the probability of getting a combination of 4-3-9 is
[tex]\Rightarrow P=\dfrac{1}{10}\times \dfrac{1}{10}\times\dfrac{1}{10}\\\\\Rightarrow P=\dfrac{1}{1000}\\\\\Rightarrow P=0.001[/tex]
