(iv) Are the events 'Korea' and 'Black' Mutually Exclusive? Justify your response. [2] (v) Are the events 'Korea' and 'Black' Independent? Justify your response [3]
(iv) Are the events 'Korea' and 'Black' Mutually Exclusive? Justify your response. [2] (v) Are the events 'Korea' and 'Black' Independent? Justify your response [3]
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Answer IV and V only
![b) For a group of 300 cars the numbers, classified by colour and country of manufacture, are
shown in the table.
Black
Silver
White
Korea
33
34
35
Japan
23
9.
24
America
16
25
34
| Germany
19
16
32
One car is selected at random from this group. Find the probability that the selected car is
(i) a black or white car manufactured in Korea.
(ii) not manufactured in Japan.
(iii) is a white car, given that it was manufactured in America.
(iv) Are the events Korea' and 'Black' Mutually Exclusive? Justify your response.
[2]
[1]
[2]
[2]
(v) Are the events 'Korea' and 'Black’ Independent? Justify your response [3]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ab3ab97-bcc4-4fab-a368-ccdc38d8974c%2F7f3d6a8f-a3d7-4da4-bb3f-4dea643d0d45%2F64uofct_processed.png&w=3840&q=75)
Transcribed Image Text:b) For a group of 300 cars the numbers, classified by colour and country of manufacture, are
shown in the table.
Black
Silver
White
Korea
33
34
35
Japan
23
9.
24
America
16
25
34
| Germany
19
16
32
One car is selected at random from this group. Find the probability that the selected car is
(i) a black or white car manufactured in Korea.
(ii) not manufactured in Japan.
(iii) is a white car, given that it was manufactured in America.
(iv) Are the events Korea' and 'Black' Mutually Exclusive? Justify your response.
[2]
[1]
[2]
[2]
(v) Are the events 'Korea' and 'Black’ Independent? Justify your response [3]
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