A member of the junior varsity swim team will be elected as President. Each member is equally likely to be elected. The probability that a sophomore is elected is $4$ times the probability that a freshman is elected. Everyone on the junior varsity swim team is either a freshman or sophomore. What fraction of the swim team are sophomores?
A member of the junior varsity swim team will be elected as President. Each member is equally likely to be elected. The probability that a sophomore is elected is $4$ times the probability that a freshman is elected. Everyone on the junior varsity swim team is either a freshman or sophomore. What fraction of the swim team are sophomores?
As each member is equally likely to be elected, the determining
factor would be the larger number of sophomores.
Since the election likelihood of sophomores to freshment is 4:1,
then there are four times as many sophomores.
The fraction of the team that are sophomores is 4 / 5.
Random example: 4 sophomores and 1 freshman.
.
A member of the junior varsity swim team will be elected as President. Each member is equally likely to be elected. The probability that a sophomore is elected is $4$ times the probability that a freshman is elected. Everyone on the junior varsity swim team is either a freshman or sophomore. What fraction of the swim team are sophomores?
As each member is equally likely to be elected, the determining
factor would be the larger number of sophomores.
Since the election likelihood of sophomores to freshment is 4:1,
then there are four times as many sophomores.
The fraction of the team that are sophomores is 4 / 5.
Random example: 4 sophomores and 1 freshman.
.