Probability

2009-09-05 5:06 am
Suppose we randomly pick a person in China. Probability for the person from Hong Kong is 0.006. The probability for the person can speak Cantonese is 0.08. What is the probability that the person selected can speak Cantonese and from Hong Kong.

回答 (3)

2009-09-05 7:59 am
✔ 最佳答案


The events
C : "The person can speak Cantonese" and
H : "The person is from Hong Kong"
are dependent events.
So P(C and H) does not equal P(C)P(H) but P(C and H) = P(H)P(C|H)
P(H) = 0.006
P(C) = 0.08
P(C|H) and P(H|C) are not given.
P(C|H) is the probability that a person can speak Cantonese if the person is from Hong Kong. By common sense nearly every person from Hong Kong can speak Cantonese so P(C|H) is very very close to 1.
A good estimate for P(C and H) is 0.006 x 1 = 0.006
2009-09-05 11:43 am
From the question, it does not mention whether two event is independent or not, so it is better to assume that they are independent. Because people from HK may or may not speak Cantonese, and people can speak Cantonese may or may not from HK.
let the event
C: the person picked can speak Cantonese
H: the person picked is from Hong Kong
are independent event.

so the probability should be
P(C and H) = P(C) x P(H)
=0.006 x 0.08 = 0.00048
參考: myself
2009-09-05 6:12 am
Probability=0.006x0.08=0.00048


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