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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?

 Dec 19, 2023

Best Answer 

 #1
avatar+842 
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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.  

.

 Dec 19, 2023
 #1
avatar+842 
+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

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