Determine the following probabilities. Enter your final answers as reduced fractions .
1. Two marbles are chosen at random from a jar of 12 marbles without replacement. There are 8 blue marbles, and 4 red marbles.
What is the probability that the first marble chosen is red and the second marble chosen is red?
2. Two cards are drawn at random from a deck of 52 cards without replacing the first card before choosing the second card.
What is the probability that the first card is a diamond and the second card is a number card that is black ?
explain?