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?

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%

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.