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Alejandra is designing a game of chance. For one part of the game, a player is to randomly choose 3 marbles, without replacement, from a box containing B blue marbles, R red marbles, and no other marbles. Alejandra correctly determined the positive integers B and R so that the number of possible selections in which 1 blue marble and 2 red marbles are chosen is twice the number of possible selections in which 2 blue marbles and 1 red marble are chosen.
The positive integers B and R that Alejandra determined must be such that B is the number that is __ 1 __ and R is the number that is __ 2 __.
Based on the information provided, select for 1 and for 2 the options that create the most accurate statement. Make only two selections, one in each column.
  • a)
    1: 
    2: 2B-1
  • b)
    1: 
    2: B-2
  • c)
    1: 
    2: R+2
  • d)
    1: 2B-1
    2: 
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Alejandra is designing a game of chance. For one part of the game, a p...

R−1 = 2B − 2

R = 2B − 1
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Alejandra is designing a game of chance. For one part of the game, a player is to randomly choose 3 marbles, without replacement, from a box containing B blue marbles, R red marbles, and no other marbles. Alejandra correctly determined the positive integers B and R so that the number of possible selections in which 1 blue marble and 2 red marbles are chosen is twice the number of possible selections in which 2 blue marbles and 1 red marble are chosen.The positive integers B and R that Alejandra determined must be such that B is the number that is __ 1 __ and R is the number that is __ 2 __.Based on the information provided, select for 1 and for 2 the options that create the most accurate statement. Make only two selections, one in each column.a)1:2:2B-1b)1:2:B-2c)1:2:R+2d)1:2B-12:Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Alejandra is designing a game of chance. For one part of the game, a player is to randomly choose 3 marbles, without replacement, from a box containing B blue marbles, R red marbles, and no other marbles. Alejandra correctly determined the positive integers B and R so that the number of possible selections in which 1 blue marble and 2 red marbles are chosen is twice the number of possible selections in which 2 blue marbles and 1 red marble are chosen.The positive integers B and R that Alejandra determined must be such that B is the number that is __ 1 __ and R is the number that is __ 2 __.Based on the information provided, select for 1 and for 2 the options that create the most accurate statement. Make only two selections, one in each column.a)1:2:2B-1b)1:2:B-2c)1:2:R+2d)1:2B-12:Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Alejandra is designing a game of chance. For one part of the game, a player is to randomly choose 3 marbles, without replacement, from a box containing B blue marbles, R red marbles, and no other marbles. Alejandra correctly determined the positive integers B and R so that the number of possible selections in which 1 blue marble and 2 red marbles are chosen is twice the number of possible selections in which 2 blue marbles and 1 red marble are chosen.The positive integers B and R that Alejandra determined must be such that B is the number that is __ 1 __ and R is the number that is __ 2 __.Based on the information provided, select for 1 and for 2 the options that create the most accurate statement. Make only two selections, one in each column.a)1:2:2B-1b)1:2:B-2c)1:2:R+2d)1:2B-12:Correct answer is option 'A'. Can you explain this answer?.
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