latrellcampbel latrellcampbel
  • 22-04-2018
  • Mathematics
contestada

What is the probability a randomly selected student is enrolled in both Spanish and French?

A. 414/389
B. 25/389
C. 25/439
D. 25/153

What is the probability a randomly selected student is enrolled in both Spanish and French A 414389 B 25389 C 25439 D 25153 class=

Respuesta :

jelkhechen86
jelkhechen86 jelkhechen86
  • 22-04-2018
Answer is C. 25/439.
Answer Link
zagreb zagreb
  • 29-08-2018

Formula to find total students

= n(A) + n(B) - n(A intersection B)

Probability of any event is

= Number of favorable outcomes / Total number of outcomes.

Here students enrolled for Spanish are 261 = n(A)

Students enrolled for French are 153 = n(B)

Students enrolled for both the languages are 25 = n(A intersection B)

Total number of students enrolled are = 261 + 153 - 25 = 389

The probability for a student enrolled for both languages

= [tex] \frac{25}{389} [/tex]

Option B) is the right answer

Answer Link

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