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An integer is randomly chosen from 2 to 20 inclusive. What i

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GMAT Club Legend
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Joined: 07 Jun 2014
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An integer is randomly chosen from 2 to 20 inclusive. What i [#permalink] New post 05 Aug 2018, 14:23
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An integer is randomly chosen from 2 to 20 inclusive. What is the probability that the number is prime?

Give your answer as a fraction.

[Reveal] Spoiler: OA
\(\frac{8}{19}\)

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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4704
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1600 [0], given: 373

CAT Tests
Re: An integer is randomly chosen from 2 to 20 inclusive. What i [#permalink] New post 07 Aug 2018, 06:05
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Explanation

Among the integers 2 through 20, inclusive, there are 8 primes: 2, 3, 5, 7, 11, 13, 17, and 19. From 2 to 20, inclusive, there are exactly 20 – 2 + 1 = 19 integers; remember to “add one before you’re done” to include both endpoints.

Alternatively, there are 20 integers from 1 to 20, inclusive, so there must be 19 integers from 2 to 20, inclusive. Since probability is defined as the number of desired items divided by the total number of choices, the probability that the number chosen is prime is \(\frac{8}{19}\).
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Re: An integer is randomly chosen from 2 to 20 inclusive. What i   [#permalink] 07 Aug 2018, 06:05
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