2. In the Venn diagram below, A, B and C are events and p, q, r and s are probabilities.
The events A and C are independent and P(A) = 0.65
A
C
P
B
0.13
S
(a) State which two of the events A, B and C are mutually exclusive.
(1)
(b) Find the value of r and the value of s.
(5)
The events (A C') and (BUC) are also independent.
(c) Find the exact value of p and the exact value of q. Give your answers as fractions.
(6)
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People used to pity the narrator's family because they said that they must be lonesome on the big half moon island and also there were no children to play with the narrator and Claire.
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