In a language program at a university, 24% of students speak Spanish, 8% speak French, and 4% speak both languages. Are speaking Spanish and speaking French independent events? Why?

Please choose one:

Yes, because P(S and F) = P(S) x P(F).

No, 24% of all students speak Spanish, but among those who speak French, 50% speak Spanish.

Yes, a student cannot speak both Spanish and French at the same time.

Yes, the probability that a student speaks French is the same as the probability that a students speaks French given that they speak Spanish.

No, 4% of students speak both languages.

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