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In a classroom with 24 students, 7 students are wearing jeans, 4 are wearing shorts, 8 are wearing skirts, and the rest are wearing leggings. if we randomly select 3 students without replacement, what is the probability that one of the selected students is wearing leggings and the other two are wearing jeans? note that these are mutually exclusive clothing options.

Respuesta :

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[tex]total \: number \: of \: students = 24 \\ wearing \: jeans = 7 \\ wearing \: shorts = 4 \\ wearing \: skirts = 8 \\ wearing \: leggings = 5[/tex]

[tex]P(x) = \frac{7C_{2} \times5C_{1} }{24C_{3}} = \frac{105}{2024} [/tex]

or

[tex]P(x) = \frac{7}{24} \times \frac{6}{23} \times \frac{5}{22} \times \frac{3!}{2!} = \frac{105}{2024} [/tex]

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