If you were to dial any 7 digits on a telephone in random
order, what is the probability that you will dial your own
phone number?
Assume that your telephone number is 7-digits.
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Answer Posted / guest
1 in 10,000,000
There are 10 digits i.e. 0-9. First digit can be dialed in
10 ways. Second digit can be dialed in 10 ways. Third digit
can be dialed in 10 ways. And so on.....
Thus, 7-digit can be dialed in 10*10*10*10*10*10*10
(=10,000,000) ways. And, you have just one telephone number.
Hence, the possibility that you will dial your own number is
1 in 10,000,000.
Note that 0123456 may not be a valid 7-digit telephone
number. But while dialing in random order, that is one of
the possible 7-digit number which you may dial.
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