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Each integer from 1 to 50 whose units digit is a 3 is written on a sli

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Bunuel
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Each integer from 1 to 50 whose units digit is a 3 is written on a sli [#permalink] New post   05 Dec 2018, 05:56
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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 are drawn at random without replacement, what is the probability that both the numbers picked are prime?

A. 1/50
B. 1/5
C. 2/5
D. 3/5
E. 4/5
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hibobotamuss
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Re: Each integer from 1 to 50 whose units digit is a 3 is written on a sli [#permalink] New post   05 Dec 2018, 07:21
Numbers: 3,13,23,33,43

Probability: 4/5 x 3/4 = 3/5

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Re: Each integer from 1 to 50 whose units digit is a 3 is written on a sli [#permalink] New post   05 Dec 2018, 09:28
Bunuel wrote:
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 are drawn at random without replacement, what is the probability that both the numbers picked are prime?

A. 1/50
B. 1/5
C. 2/5
D. 3/5
E. 4/5



no would be 3,13,23,33,43

prime P would be 4/5* 3/4 = 3/5 IMO D
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Each integer from 1 to 50 whose units digit is a 3 is written on a sli [#permalink] New post   05 Dec 2018, 09:29
Numbers that has unit digit '3' are 3,13,23,33,43

Probability of picking prime number in the 1st draw = \(\frac{Fav}{Total}\) = \(\frac{4}{5}\)
Probability of picking a prime number in the 2nd draw = \(\frac{Fav}{Total}\) = \(\frac{3}{4}\)

Probability that both numbers picked are prime = \(\frac{4}{5}\)\(*\)\(\frac{3}{4}\) = \(\frac{3}{5}\)

IMO D

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Re: Each integer from 1 to 50 whose units digit is a 3 is written on a sli [#permalink] New post   05 Dec 2018, 09:39
D

The question says without replacement.
So, between 1 & 50 we have 3, 13, 23, 33 & 43.

Total=5
Prime Numbers=4

Probability of prime number being chosen without replacement is

\frac{4}{5} * \frac{3}{4} = \frac{3}{5}
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Re: Each integer from 1 to 50 whose units digit is a 3 is written on a sli [#permalink] New post   10 Jan 2020, 11:59
There are 5 integers from 1 to 50 whose units’ digit is a 3. The integers are 3, 13,23,33,43.

Among them, prime numbers are 3,13,23,43.

The probability that both the numbers picked are prime = 4/5 x ¾ = 3/5(D)
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Re: Each integer from 1 to 50 whose units digit is a 3 is written on a sli [#permalink] New post   09 Apr 2023, 11:34
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Re: Each integer from 1 to 50 whose units digit is a 3 is written on a sli [#permalink]
09 Apr 2023, 11:34
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