In a language program at a university,14% of students speak Spanish,7% speak French,and 4% speak both languages.A student is chosen at random from the college What is the probability that a student who speaks Spanish also speaks French?

A) 0.170
B) 0.286
C) 0.030
D) 0.040
E) 0.571

Question

Jessica Moses-Morgan · Accepted Answer

Final Answer : B, Explanation :  The probability that a student who speaks Spanish also speaks French is found using the formula for conditional probability. Given that 4% of students speak both Spanish and French, and 14% speak Spanish, the probability that a student speaks French given they speak Spanish is 4% divided by 14%, which equals 0.286 or 28.6%.

In a language program at a university,14% of students speak Spanish,7% speak French,and 4% speak both languages.A student is chosen at random from the college What is the probability that a student who speaks Spanish also speaks French?

A) 0.170
B) 0.286
C) 0.030
D) 0.040
E) 0.571

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Learning Objectives

Related questions

In a language program at a university,14% of students speak Spanish,7% speak French,and 4% speak both languages.A student is chosen at random from the college What is the probability that a student who speaks Spanish also speaks French?A) 0.170B) 0.286C) 0.030D) 0.040E) 0.571

Definitions

Learning Objectives

Learning Objectives

Related questions

In a language program at a university,14% of students speak Spanish,7% speak French,and 4% speak both languages.A student is chosen at random from the college What is the probability that a student who speaks Spanish also speaks French?

A) 0.170
B) 0.286
C) 0.030
D) 0.040
E) 0.571