The probability that an american company will open a location in shanghai, china is 0.7. the probability that it will open a location in beijing, china is 0.4. the probability that it will open a location in either shanghai or beijing or both is 0.8. what is the probability that the company will open a location in:
(a) both shanghai and beijing?
(b) neither shanghai nor beijing?
(c) beijing but not in shanghai?
(d) shanghai given that it opens a location in beijing?

Step-by-step explanation:

Given that the probability that an American company will open a location in Shanghai, China is 0.7.

The probability that it will open a location in Beijing, China is 0.4.

The probability that it will open a location in either Shanghai or Beijing or both is 0.8.

the probability that the company will open a location in:

(a) both Shanghai and Beijing :

P(both) = 0.3

(using addition theory of probability for union of sets)

(b) neither Shanghai nor Beijing

= 1- P(AUB)

(c) Beijing but not in Shanghai?

P(Beiging)_P(both) =

(d) Shanghai given that it opens a location in Beijing

=P(Both)/P(Beijing) =

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step-by-step explanation:

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step-by-step explanation: