One member of the debate team is going to be chosen President. Each member is equally likely to be chosen. The probability that a boy is chosen is 2/3 the probability that a girl is chosen. Girls make up what fraction of the debate team?
(probability of a boy being chosen) + (probability of a girl being chosen) = 1.000
Let g be the probability of a girl being chosen.
Since the probability that a boy is chosen is 2/3rds the probability that a girl is chosen ---> probability that a boy is chosen = (2/3)·g.
Substituting: (2/3)·g + g = 1.000
Adding the fractions: (5/3)g = 1.000
Solving for g: g = 3/5 (This means that girls make up 3/5ths of the club.)
(probability of a boy being chosen) + (probability of a girl being chosen) = 1.000
Let g be the probability of a girl being chosen.
Since the probability that a boy is chosen is 2/3rds the probability that a girl is chosen ---> probability that a boy is chosen = (2/3)·g.
Substituting: (2/3)·g + g = 1.000
Adding the fractions: (5/3)g = 1.000
Solving for g: g = 3/5 (This means that girls make up 3/5ths of the club.)