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16 Apr 2019, 23:32
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
58% (00:55) correct
42%
(00:57)
wrong
based on 141
sessions
History
Date
Time
Result
Not Attempted Yet
What is the probability that a word formed by randomly rearranging the letters of the word ALGAE is the word ALGAE itself?
(A) 1/120
(B) 1/60
(C) 2/7
(D) 2/5
(E) 1/30
(A) 1/120
(B) 1/60
(C) 2/7
(D) 2/5
(E) 1/30
Archit3110
16 Apr 2019, 23:36
Kudos
Bookmarks
Bunuel
ALGAE can be arranged in 5!/2! ways
so Probability of same word as ALGAE ; 1/5!/2! ; 2!/5!
1/60
IMO B
23 Apr 2019, 07:56
Kudos
Bookmarks
First choice is A so: 2/5
Second choice is L: 1/4 (because only one L and for the denominator, A was already taken out so it has been reduced by 1).
Third choice G: 1/3
Fourth choice A: 1/2
Fifth choice E: 1
Multiply them all together (2/5) * (1/4) * (1/3) * (1/2) * 1 = 2/20 => 1/60
Choice B
Second choice is L: 1/4 (because only one L and for the denominator, A was already taken out so it has been reduced by 1).
Third choice G: 1/3
Fourth choice A: 1/2
Fifth choice E: 1
Multiply them all together (2/5) * (1/4) * (1/3) * (1/2) * 1 = 2/20 => 1/60
Choice B
