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If without repetition of the numbers, four-dight numbers are formed with the numbers 0, 2, 3 and 5, then the probability of such a number divisible by 5 is

A

`(1)/(5)`

B

`(4)/(5)`

C

`(1)/(30)`

D

`(5)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) We have, to form fout-digit number using the digit 0, 2, 3 and 5 Which are divisible by 5.

`"If 0 is fixed at units place"=3xx2xx1=6`
`"If 5 is fixed at units place"=2xx2xx1=4`
`"Total four-digit numbers divisible by "5=6+4=10`
`therefore" Required probability"=(10)/(18)=(5)/(9)`
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