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# If two consecutive letters are selected at random from the English

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Manager
Joined: 08 Sep 2010
Posts: 165
Location: India
WE 1: 6 Year, Telecom(GSM)
If two consecutive letters are selected at random from the English  [#permalink]

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Updated on: 28 Oct 2010, 02:55
1
3
00:00

Difficulty:

65% (hard)

Question Stats:

59% (02:21) correct 41% (02:31) wrong based on 44 sessions

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If two consecutive letters are selected at random from the English alphabet, the probability that they are both consonants is

A. 2/5
B. 9/25
C. 16/25
D. 3/5
E. 4/5

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Originally posted by ankitranjan on 28 Oct 2010, 02:37.
Last edited by ankitranjan on 28 Oct 2010, 02:55, edited 1 time in total.
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Joined: 16 Oct 2010
Posts: 76
Location: United States
Concentration: Finance, Entrepreneurship
GMAT 1: 700 Q49 V35
WE: Information Technology (Investment Banking)
Re: If two consecutive letters are selected at random from the English  [#permalink]

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Updated on: 28 Oct 2010, 03:06
ankitranjan wrote:
If two consecutive letters are selected at random from the english alphabet, the probability that they are both consonants is

A. 2/5
B. 9/25
C. 16/25
D. 3/5
E.4/5

Number of consequitive pairs = 25 (n-1)
There are 5 vowls that would be part of 10 consequitive pairs.
Hence
p = 1- 10/25 = 15/25 = 3/5

Not sure if I am right here.

Originally posted by Ellipse on 28 Oct 2010, 02:42.
Last edited by Ellipse on 28 Oct 2010, 03:06, edited 1 time in total.
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Joined: 02 Sep 2009
Posts: 54437
Re: If two consecutive letters are selected at random from the English  [#permalink]

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28 Oct 2010, 02:48
ankitranjan wrote:
If two consecutive letters are selected at random from the english alphabet, the probability that they are both consonants is

A. 2/5
B. 9/25
C. 16/25
D. 3/5
E. 4/5

There are total of 25 consecutive pairs of letters (1-2), (2-3), (3-4), ..., (25-26). So denominator would be 25.

Also there are 5 vowels: a, e, i, o, and u. Consecutive pairs containing vowels are: (a-b), (d-e), (e-f), ..., (t-u), (u-v), so total of 1+4*2=9 (2 for each vowels except a).

So P=1-9/25=16/25.

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Joined: 08 Sep 2010
Posts: 165
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WE 1: 6 Year, Telecom(GSM)
Re: If two consecutive letters are selected at random from the English  [#permalink]

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28 Oct 2010, 02:56
Bunuel you are right.
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Re: If two consecutive letters are selected at random from the English  [#permalink]

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28 Jul 2017, 04:07
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Re: If two consecutive letters are selected at random from the English   [#permalink] 28 Jul 2017, 04:07
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