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Colored marbles are drawn at random from a bag without replacing any.
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31 Jul 2022, 03:34
31 Jul 2022, 03:34
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Question Stats:
86% (01:43) correct
13% (01:30) wrong based on 15 sessions
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Colored marbles are drawn at random from a bag without replacing any. In the bag are four clear marbles and seven black marbles.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
The probability of drawing two clear marbles |
The probability of drawing three black marbles |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: Colored marbles are drawn at random from a bag without replacing any.
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10 Aug 2022, 07:35
10 Aug 2022, 07:35
Expert Reply
Colored marbles are drawn at random from a bag without replacing any.
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28 Aug 2022, 06:23
28 Aug 2022, 06:23
1
Given :- 4 C + 7 B marbles = total (11 Marbles)
Case 1:-
Solve it By FCP(Fundamental Counting Principles)
2 marble clear ones are chosen so - 4*3 = 12 possibilities
3 marble black ones are chosen so - 7*6*5=210 possibilities
Case 2 :-
now solving by Combinations becuz without replacing means Events are Dependent
2 clear marbles chosen out of 11 marbles of 4 clear ones = 4C2/11C4
3 black marbles chosen out of 11 marbles of 7 black ones = 7C3/11C7
Case 1:-
Solve it By FCP(Fundamental Counting Principles)
2 marble clear ones are chosen so - 4*3 = 12 possibilities
3 marble black ones are chosen so - 7*6*5=210 possibilities
Case 2 :-
now solving by Combinations becuz without replacing means Events are Dependent
2 clear marbles chosen out of 11 marbles of 4 clear ones = 4C2/11C4
3 black marbles chosen out of 11 marbles of 7 black ones = 7C3/11C7
