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Of the twenty-two students in a classroom, ten are transfer students, seven are nursing students, four are AAS students and one student is undecided.If three students are chose randomly, without replacement, find the probability that the first student is transfer, the second student is AAS and the third student is undecided.Answer:

Respuesta :

Solution

Probability = number of required outcome / number of possible outcome

Transfer student = 10

nursing students = 7

AAS students = 4

Undecided = 1

Total = 22

If three students are chose randomly, without replacement,

[tex]\begin{gathered} Pr(\text{transfer student) = }\frac{10}{22} \\ \text{and} \\ Pr(AASstudent)=\frac{4}{21} \\ \text{and } \\ Pr(\text{Undecided) }=\frac{1}{20} \end{gathered}[/tex][tex]\begin{gathered} Pr(\text{selecting 3 student) =}\frac{10}{22}\times\frac{4}{21}\times\frac{1}{20} \\ P(\text{selecting 3 student) = }\frac{1}{231} \end{gathered}[/tex]

Therefore the probability = 1/231

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