1. A deck is shuffled and two cards are dealt.

1. Find the chance the second card is a heart given the first card is a heart.
2. Find the chance that the first card is a heart and the second card is a heart.

3. Someone works example 2(a0 on p.226 this way:

For me to win, the queen can't be the first card dealt (51 chances in 52) and she must be the second card (1 chance in 51), so the answer is (51/52) x (1/51) = (1/52) Is the multiplication legitimate? Why?

4. Two draws are made at random without replacement from the box [ 1 2 3 4 ]. The first ticket is lost, and nobody knows what was written on it. True or False, and explain: the two draws are independent.

6. In 2002, about 50.9% of the population of the United States was female. Also, 1.6% of the population was age 85 and over. True or False, and explain: the percentage of the population consisting of women age 85 and over is 50.9% of 1.6% = 0.509% x 1.6% 0.8 of 1%