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A number was chosen at random from the f...

A number was chosen at random from the first `300` three digits natural number. Find the probability of it ending with a zero.

A

`(1)/(15)`

B

`(1)/(25)`

C

`(1)/(10)`

D

`(1)/(20)`

Text Solution

Verified by Experts

The correct Answer is:
C
Let the number be x, `100lexle399`.
A number ending with a 0 is divisible by 10.
Least value of x, divisible by 10=100=10(10).
Greatest value of x, divisible by 10=390=10(39)
Number of values of x divisible by 10 = number of numbers from 10 to 39 =30
`:.` Required probability `=(30)/(300)=(1)/(10)`.
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