Question

4. Of the 120 people attending a multicultural event, 48 of them speak English, 36 speak Spanish, and 12 speak both languages. One of the attendees is randomly selected to address the group.
(a) [8 points] What is the probability that he/she can speak either of the two languages?

(b) [6 points] What is the probability that he/she can speak Spanish, given that he/she can speak English?

(c) [6 points] What is the probability that he/she can speak only Spanish?

Answer 1

let us, define the events as follows:-

E : the people attending speak English

S : the people attending speak Spanish

the given data are:-

a).the probability that he/she can speak either of the two languages is:-

b). the probability that he/she can speak Spanish, given that he/she can speak English is:-

c). the probability that he/she can speak only Spanish is :-

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