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21 Jul 2015, 03:09
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A password for a computer uses five digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
A. 1/32
B. 1/16
C. 1/8
D. 2/5
E. 1/2
Kudos for a correct solution.
A. 1/32
B. 1/16
C. 1/8
D. 2/5
E. 1/2
Kudos for a correct solution.
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21 Jul 2015, 04:01
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Bunuel
A password for a computer uses five digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
A. 1/32
B. 1/16
C. 1/8
D. 2/5
E. 1/2
Kudos for a correct solution.
A. 1/32
B. 1/16
C. 1/8
D. 2/5
E. 1/2
Kudos for a correct solution.
Favorable outcomes will be obtained by making Password using {0, 2, 3, 5, 7} i.e. 5 digits
Total Such Passwords = 5*5*5*5*5 = 5^5
Total Possible Password = 10*10*10*10*10 = 10^5
Probability = (5^5) / (10^5) = 1/2^5 = 1/32
Answer: option A
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21 Jul 2015, 04:09
Kudos
Bookmarks
Bunuel
A password for a computer uses five digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
A. 1/32
B. 1/16
C. 1/8
D. 2/5
E. 1/2
Kudos for a correct solution.
A. 1/32
B. 1/16
C. 1/8
D. 2/5
E. 1/2
Kudos for a correct solution.
Prime numbers from 0 to 9: 2,3,5,7 (4 in number) + 0 = 5 in total for favorable cases.
Total cases = 10
Thus probability of 1 digit = favorable cases / total cases = 5/10 = 1/2 ---> probability of all 5 'slots' = (1/2)^5 = 1/32, A is the correct answer.
