A password for a computer uses eight digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?  Select the correct option
A) 1/32 B) 1/16 C) 1/8 D) 2/5 E) 1/256
To calculate all the possibilities, there are 10 choices for each digit. The number of possibilities for five digits is 10 × 10 × 10 × 10 × 10× 10 × 10 × 10 = 100,000,000 possible combinations.   Prime numbers constitute 2, 3, 5, 7, 11, 13 and 17. In addition to zero, this is 5 total possibility for each digit. So the number of satisfactory variants is 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 . So the probability is 1/2 × 1/2 × 1/2 × 1/2 × 1/2 × 1/2 × 1/2 × 1/2 = 1/256.   The right answer is choice (1/256).
<result>E</result>
A password for a computer uses eight digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?