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# m22 #8

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Director
Joined: 03 Sep 2006
Posts: 879
Followers: 6

Kudos [?]: 621 [0], given: 33

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09 May 2010, 13:05
What is the probability that one of the two integers randomly selected from range 20-29 is prime and the other is a multiple of 3?

(The numbers are selected independently of each other, i.e. they can be equal)
Manager
Joined: 20 Apr 2010
Posts: 153
Location: I N D I A
Followers: 3

Kudos [?]: 19 [0], given: 16

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11 May 2010, 22:21
Prime number in the range 20 - 29 is 23 only.
Multiples of 3 in this range are - 21 , 24 , 27

Probability = 1/10 ( Probability of getting 1 Prime no. out of total 10 numbers ) * 3/9 ( Probability of getting multiple of 3 out of remaining 9)

= 3/90 = 1/30.

Hope its correct..
Current Student
Joined: 31 Mar 2010
Posts: 167
Schools: Tuck Class of 2013
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Kudos [?]: 24 [0], given: 4

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13 May 2010, 08:22
LM wrote:
What is the probability that one of the two integers randomly selected from range 20-29 is prime and the other is a multiple of 3?

(The numbers are selected independently of each other, i.e. they can be equal)

There are two primes within the 20-29 range = 23 and 29. So P=2/10
There are three numbers that are multiple of 3: 21, 24 and 27. So P=3/10

So to have one AND the other (2/10)*(3/10) = 3/50

What is the OA ?

Thanks,
Re: m22 #8   [#permalink] 13 May 2010, 08:22
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# m22 #8

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