Question: Independence of Two Events : A pair of five-sided dice (numbered from 1-5) is tossed. Define the following events:

A: {The sum of the two dice is equal to 6)}

B: {At least one of the two dice is showing a 4}

C: {Die 1 shows a five}

1. Find P(A),P(B), P(C), P(A∩B), P(A∩C), P(B∩C).
2. Are any of the pairwise events A, B or C independent? Use your answer from part (a) to draw your conclusion.

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