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

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
`(1)/(10)`

Similarly for selecting '3' and '9' is also
`(1)/(10)`

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

`\Rightarrow P=(1)/(10)* (1)/(10)*(1)/(10)\\\\\Rightarrow P=(1)/(1000)\\\\\Rightarrow P=0.001`