Question

Erik buys a new combination for his locker at the gym.The lock has 3 dial, each with the number 0 through 9. The probability that he sets the combination as 4-3-9 is

Answer 1

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  $\frac{1}{10}$

Similarly for selecting '3' and '9' is also $\frac{1}{10}$

Therefore the probability of getting a combination of 4-3-9 is

$\Rightarrow P=\dfrac{1}{10}\times \dfrac{1}{10}\times\dfrac{1}{10}\\\\\Rightarrow P=\dfrac{1}{1000}\\\\\Rightarrow P=0.001$