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All 6 letters from the set {L, O, B, O, M, O} are randomly selected on
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05 May 2022, 06:19
05 May 2022, 06:19
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Question Stats:
60% (01:16) correct
40% (01:29) wrong based on 10 sessions
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All 6 letters from the set {L, O, B, O, M, O} are randomly selected one at a time without replacement. What is the probability the 6 letters (in the order they were selected) spell BLOOOM?
Show: ::
1/120
Part of the project: GRE Quantitative Comparison & Problem Solving Challenge
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: All 6 letters from the set {L, O, B, O, M, O} are randomly selected on
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05 May 2022, 11:46
05 May 2022, 11:46
1
This is a very good question, will wait for OE
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Re: All 6 letters from the set {L, O, B, O, M, O} are randomly selected on
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07 May 2022, 05:15
07 May 2022, 05:15
2
Carcass wrote:
All 6 letters from the set {L, O, B, O, M, O} are randomly selected one at a time without replacement. What is the probability the 6 letters (in the order they were selected) spell BLOOOM?
Show: ::
1/120
P(letters spell BLOOOM) = P(1st letter is B AND 2nd letter is L AND 3rd letter is O AND 4th letter is O AND 5th letter is O AND 6th letter is M)
= P(1st letter is B) x P(2nd letter is L) x P(3rd letter is O) x P(4th letter is O) x P(5th letter is O) x P(6th letter is M)
= 1/6 x 1/5 x 3/4 x 2/3 x 1/2 x 1
= 1/120
Answer: 1/120
