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?

parmen Dec 19, 2023

#1**+1 **

*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.

_{.}

Bosco Dec 19, 2023

#1**+1 **

Best Answer

*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.

_{.}

Bosco Dec 19, 2023