A tourist who speaks English but no other language visits a region of Germany. If 35% of the residents speak English, 15% speak German, and 3% speak both English and German, what is the probability that the tourist will be able to talk with a randomly encountered resident of the region, given that the resident speaks German

20% robability that the tourist will be able to talk with a randomly encountered resident of the region, given that the resident speaks German

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem, we have that:

Event A: Speaking German

Event B: Speaking English

3% speak both English and German

This means that

15% speak German

This means that

So

20% robability that the tourist will be able to talk with a randomly encountered resident of the region, given that the resident speaks German

a

step-by-step explanation:

the answer is a

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step-by-step explanation: