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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
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If a number N is chosen at random from the set of two-digit integers w
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17 Jul 2021, 23:27
17 Jul 2021, 23:27
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If a number N is chosen at random from the set of two-digit integers whose digits are both prime numbers, what is the probability that N is divisible by 3?
A. 1/3
B. 1/4
C. 9/25
D. 5/16
E. 0
A. 1/3
B. 1/4
C. 9/25
D. 5/16
E. 0
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
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Re: If a number N is chosen at random from the set of two-digit integers w
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18 Jul 2021, 01:00
18 Jul 2021, 01:00
1
GeminiHeat wrote:
If a number N is chosen at random from the set of two-digit integers whose digits are both prime numbers, what is the probability that N is divisible by 3?
A. 1/3
B. 1/4
C. 9/25
D. 5/16
E. 0
A. 1/3
B. 1/4
C. 9/25
D. 5/16
E. 0
Let the number be \((a)(b)\)
possible values of \(a\) = 4 (2, 3 ,5, 7)
possible values of \(b\) = 4 (2, 3 ,5, 7)
Total possible 2-digit numbers = \((4)(4) = 16\)
Now, numbers divisible by 3;
2(7), 3(3), 5(7), 7(2), 7(5)
Required Probability = \(\frac{5}{16}\)
Hence, option D
gmatclubot
Re: If a number N is chosen at random from the set of two-digit integers w [#permalink]
18 Jul 2021, 01:00
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