Question: 1. In a certain population, the probability a woman lives to at least seventy years is 0.70 and is 0.55 that she will live to at least eighty years. If a woman is seventy years old, what is the conditional probability she will survive to eighty years? Note that if A ⊂ B then P (AB) = P (A).
2. From 100 cards numbered 00, 01, 02, ..., 99, one card is drawn. Suppose Ai is the event the sum of the two digits on a card is i; 0 ≤i ≤ 18; and Bj is the event the product of the two digits is j. Determine P (Ai|B0) for each possible i.