1 out of 5 italians speak english. 1 out of 5 people in italy are tourists. 1 out 2 tourists speaks english.(adsbygoogle = window.adsbygoogle || []).push({});

You meet a english-speaking person in italy, what is the probability that this person is italian.

The way I see the "population":

[itex]P(I) = \frac{2}{10}[/itex] are italians who speaks english.

[itex]P(T) = \frac{1}{10}[/itex] are tourists that speaks english.

You have meet someone from P(I) + P(T), what is the probability that this person is italian?

That probability equates to:

2x + 1y = 1 (x => english-speaking italian, y => english speaking tourist)

Where do I go from here?

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