A password for a computer uses six digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?	Choose the correct option.
A) 1/32 B) 1/64 C) 1/8 D) 2/5 E) 1/2
To calculate all the possibilities, there are 10 choices for each digit. The number of possibilities for six digits is 10 x 10 × 10 × 10 × 10 × 10 = 1,000,000 possible combinations.   Prime numbers constitute 2, 3, 5, 7 and 11. In addition to zero, this is 5 total possibility for each digit. So the number of satisfactory variants is 6 x 6 × 6 × 6 × 6 × 6. So the probability is 1/2 x 1/2 × 1/2 × 1/2 × 1/2 × 1/2 = 1/64.   The right answer is choice (1/64).
<result>B</result>
A password for a computer uses six digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?