A group of 11 people can speak either English o... - WAEC Mathematics 1999 Question
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 option: a
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
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