Two events, A and B, are such that P(A∪B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P (A∩B ) (ii) P(A/B) (iii) P(AUB)'
Question 1_
Two events, A and B, are such that P(A∪B) = 0.86, P(B) = 0.72 and P(A) = 0.64.
Determine
(i) P (A∩B )
(ii) P(A/B)
(iii) P(AUB)'
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.
(v) Are the events ‘Korea’ and ‘Black’ Independent? Justify your response
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