If n positive integers are taken at random and multiplied together, the probability that the last digit of the product is 2, 4, 6 or 8, is
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The last digit of the product will be 
or 9 if and only if each of the 
positive integers ends in any of these digits. Now the probability of an integer ending in 
or 9 is 
Therefore the probability that the last digit of the product of 
integers in 
or 9 is 
The probability for an integer to end in 
or 9 is 
Therefore the probability for the product of 
positive integers to end in 
or 9 is 
Hence the required probability 
.
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