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?

Guest Apr 2, 2015

#1**+10 **

(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.)

geno3141
Apr 2, 2015

#1**+10 **

Best Answer

(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.)

geno3141
Apr 2, 2015