Consider the experiment of checking the lifetime of two equal electrical tubes. Let A1, the event both tubes last more than 10 years: A2 the event the first tube observed lasts more than 10 years and the second at most 15 years and A3 the event both tubes last at most 10 years (a) write the elements of the sample space Ω, and of the events A1, A2, A3 (b) which of the following pairs of events are mutually exclusive A1, A2; A1, A3; A2, A3?

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