A credit card contains 16 digits between 0 and 9. However, only 100 million numbers are valid. If a number is entered randomly, what is the probability that it is a valid number?

Amari Flowers 2020-10-20 Answered
A credit card contains 16 digits between 0 and 9. However, only 100 million numbers are valid. If a number is entered randomly, what is the probability that it is a valid number?
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Expert Answer

Cullen
Answered 2020-10-21 Author has 89 answers
There are 1016 strings of 16 digits between 0 and 9 (for each of the 16 digits we have 10 choices). Also, 100 million = 100106=108. So, the probability that the random entered number is valid is
number of valid numbers/all strings of 16 digits=1081016=1108
which is almost zero.
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