The experiment consist of drawing one or two cards from an ordinary deck of playing cards, i.e., the deck has 4 suits with 13 cards per suit. Consider an Ace to be the highest card but not a face card. Only one card is selected in Parts 1-8. In Part 9 two cards are selected with replacement and in Part 10 two cards are selected without replacement. For the following events, find the probability each occurs.
1. The card is red
2. The card is less than 5 (assume an Ace is the highest card)
3. The card is a red face card (assume only the Jack, Queen, and King are face cards)
4.The card is not a face card given it is black
5. The card is black given it is not a face card
6. The card is even and red.
7. The card is even or red.
8. The card is red, even, and less than 6
9. The two cards drawn are face cards (with replacement)
10. The first card is a red face card and the second card is a red face card (without replacement).