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Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. which expression represents the probability that both students chosen are sophomores? startfraction (20 c 6) (19 c 5) over 20 c 2 endfraction startfraction (20 p 6) (19 p 5) over 20 p 2 endfraction

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MrRoyal

The probability expression is [tex]\frac{^{6}C_2}{^{20}C_2}[/tex]

How to determine the probability expression?

The given parameters are

  • Sophomore = 6
  • Freshmen = 14

The total number of people is

n = 20

2 of the 20 people are to be selected.

So, the number of selection is

[tex]n = ^nC_r[/tex]

This gives

[tex]n = ^{20}C_2[/tex]

The expression that represents both students being sophomore is

[tex]n = ^{6}C_2[/tex] --- i.e. 2 students selected from 6

The probability is then represented as:

[tex]\frac{^{6}C_2}{^{20}C_2}[/tex]

Hence, the probability expression is [tex]\frac{^{6}C_2}{^{20}C_2}[/tex]

Read more about probability at:

https://brainly.com/question/8524947

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