Statistics And Probability Question 244

Question: Dialing a telephone number an old man forgets the last two digits remembering only that these are different dialled at random. The probability that the number is dialled correctly, is

Options:

A) $ \frac{1}{45} $

B) $ \frac{1}{90} $

C) $ \frac{1}{100} $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  •         There are 10 digits  $ 0,1,2,3,4,5,6,7,8,9. $  The last two digits can be dialled in  $ {}^{10}P_2=90 $  ways, out of which only one way is favourable, thus the required probability  $ =\frac{1}{90}. $