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Q.3. (a) Let an experiment consist of tossing two standard dice. Define the events, A =...

Q.3. (a) Let an experiment consist of tossing two standard dice. Define the events, A = {doubles appear} (That is (1, 1), (2, 2) etc..)
B = {the sum is bigger than or equal to 7 but less than or equal to 10}
C = {the sum is 2, 7 or 8}
(i) Find P (A), P (B), P (C) and P (A ∩ B ∩ C). (ii) Are events A, B and C independent?
(b) Let the sample space S consist of the 3! permutations of letters a, b and c along with three triples of each letter (e.g. aaa) and let each element of S have probability
1 Define Ai = {i-th place in thee triple is occupied by a}, i = 1, 2, 3. 9.
Verify whether or not A1,A2 and A3 are independent?
Math   Statistics-And-Probability   
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