Conditional Probability of Drawing Different Kinds of Cards
A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
- a prime number under 10 given the card is red. (1 is not prime.)
- a King, given that the card is not a heart.
- a nine given the card is a face card.
Show step by step work. Give all solutions exactly in reduced fraction form.