A password of a computer used five digits where they are fro

You are correct. To find the probability find the number of passwords that meet the requirement and put that over the total number of possibilities. There are 5 digits that meet the requirement of prime numbers or zero: 0, 2, 3, 5 and 7. So the number of five-digit passwords that meet this requirement is 5*5*5*5*5. Since we're choosing from 10 possible digits, the total number of five-digit passwords is 10*10*10*10*10. When you put (5*5*5*5*5)/(10*10*10*10*10), you can cancel out all of the 5's to get 1/(2*2*2*2*2) or 1/32 or A.

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harshitpuri wrote:A password of a computer used five digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
A 1/32
B 1/16
C 1/8
D 2/5
E ½

The total number of ways to select 5 digits to form a 5-digit password is 10^5. The number of ways to select the 5 digits that are either a prime (2, 3, 5, 7) or zero is 5^5. Therefore, the probability is 5^5/10^5 = (5/10)^5 = (1/2)^5 = 1/32.

Answer: A