A group of 11 people can speak either English or French or Both. Seven can speak English and six can speak French. What is the probability that a person chosen at random can speak both English and French?

A.
(frac{2}{11}) 
B.
(frac{4}{11}) 
C.
(frac{5}{11}) 
D.
(frac{11}{13})
Correct Answer: Option A
Explanation
Let the number of people that speak both English and French = x
Then (7 – x) + x + (6 – x) = 11
13 – x = 11 (implies) x = 2.
(therefore) P(picking a person that speaks both languages) = 2/11