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timama
3 months ago
12

Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro

bability that both students chosen are sophomores?
Mathematics
2 answers:
Svet_ta [12.7K]3 months ago
5 0
<span>The likelihood of both selected students being sophomores is 6/20, which simplifies to 3/10.
The expression for the probability that both chosen students are sophomores is (6c1) (5c1) /(20c2) 

</span>
PIT_PIT [12.4K]3 months ago
3 0

Answer: \frac{6_C_2}{20_C_2}

Detailed explanation:

The total number of sophomores is 6.

There are 14 freshmen.

This gives a total number of individuals as 6 + 14 = 20.

Therefore, if two individuals are selected, the probability that both of them are sophomores is:

P = Total combinations of 2 individuals from the group of 6 sophomores / total individuals

P = \frac{6_C_2}{20_C_2}, which is the expression needed.

Note: we can calculate the value of P further as follows,

⇒P= \frac{6!/4!2!}{20!/18!2!}

⇒P=\frac{30/2}{10\times 19}

⇒P=\frac{15}{190}



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