As a group bonding project, 50 delegates at a European conference were asked what…

MATHEMATICS · Multi-part · CBSE · Mathematics · Sets · Sets

Problem

As a group bonding project, 50 delegates at a European conference were asked what languages they had conversations in at lunch time. The data collected is summarised alongside.
languagesDelegates
English only17
French only7
Spanish only12
English and French only3
English and Spanish only6
French and Spanish only4
English, French, and Spanish1
(1) Construct a Venn diagram to display the information. (2) Find the probability that a randomly selected delegate had a conversation in: - i** English - ii** French - iii** Spanish, but not in English - iv** French, but not in Spanish - v** French, and also one in English.

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