Question

A group of eleven people can speak either English or French or both . Seven can speak English and six can speak French. What is the probility that a person chosen at random can speak both English and french

Answer 1

Answer on Question #82636 — Math — Statistics and Probability

Question

A group of eleven 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.

Solution

Let A be people who can speak only English,

B be people who can speak only French,

C be people who can speak both English and French.

$$6 + 7 = A + B + 2^*C = 13$$ $$A + B + C = 11$$

C = 2 people who speak both English and French.

P = 2/11 = 0.1818 is the probability that a person chosen at random can speak both English and French.

Answer: 0.1818.

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