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In a school of 1250 students, 250 are freshmen and 150 students take Spanish. The probability that a student takes Spanish given that he/she is a freshman is 30%. What is the probability that a randomly selected student is a freshman given that he/she takes Spanish?

Respuesta :

rtrim03
20% hope I helped :)
GreenNerdGirl

Answer:

The answer is C. 50%

Step-by-step explanation:

Let F = freshman and S = Spanish student.

P(F) =  250 /1250  = 20%

P(S) =  150 /1250  = 12%

P(S|F) =  P(S∩F) /250  = 30%

⇒ P(S∩F) = 250 · 30% = 75

P(F|S) =  P(S∩F) /150  =  75 /150  = 50%

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