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Each integer from 1 to 50 whose units digit is a 3 is writte

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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 21088

Each integer from 1 to 50 whose units digit is a 3 is writte [#permalink]

22 May 2017, 00:53

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Question Stats:

76% (01:20) correct

24% (01:15) wrong

based on 75 sessions

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The last collection of questions for the GRE Quant - 2019

Each integer from 1 to 50 whose units digit is a 3 is written on a slip of paper and placed in a box. If two slips of a paper arc drawn at random without replacement, what is the probability that both the numbers picked are prime?

Enter your value as fraction

Show: :: OA

\(\frac{3}{5}\)

GreenlightTestPrep

GRE Instructor

Joined: 10 Apr 2015

Posts: 5916

Re: Each integer from 1 to 50 whose units digit is a 3 is writte [#permalink]

05 Aug 2017, 13:33

Expert Reply

Carcass wrote:

This question is part of GREPrepClub - The Questions Vault Project

Show: :: OA

\(\frac{3}{5}\)

Each integer from 1 to 50 whose units digit is a 3 is written on a slip of paper and placed in a box.
So, the numbers in the box are: 3, 13, 23, 33, and 43 (5 numbers)
Among those 5 numbers, the primes are: 3, 13, 23, and 43 (4 numbers)

P(both are prime) = P(1st number is prime AND 2nd number is prime)
= P(1st number is prime) x P(2nd number is prime)
= 4/5 x 3/4
= 3/5

Answer: 3/5

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