Solutions - 5050-01

(1) Apply inclusion-exclusion:

P [A_{1} A_{2} \cup A_{3}] = P [A_{1} A_{2}] + P [A_{3}] - P [A_{1} A_{2} A_{3}]

(2) Apply mutual independence:

P [A_{1} A_{2} \cup A_{3}] = P [A_{1}] P [A_{2}] + P [A_{3}] - P [A_{1}] P [A_{2}] P [A_{3}]

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