A.unconditional probabilitiesYou are drawing from a standard deck of 52 cards with four suits (hearts, diamonds, clubs, spades) each with A, 2, 3...9, J, Q, K. If you draw more than once, you put the last card back in the deck and reshuffle. Simplify fractions but don't give decimal answers (e.g., '1/52' is a better answer than '.0192'.)

a. Conditional probabilitiesUse the same deck as part A, but now if you draw more than once, don't replace the earlier draws in the deck. Don't calculate decimal answers. 1. What's the probability of drawing an ace of hearts given that you drew a red card (diamond or heart)? 2. What's the probability of drawing an ace on your second draw given that you drew an ace on the rst draw? 3. What's the probability of drawing two aces or two kings? 4. What's the probability of drawing one ace and one king? 5. What's the probability of drawing a black card given that you drew a club or an ace? 6. What's the probability of drawing a club or an ace given that you drew a black card? ?.What's the probability of drawing ve red cards in a row? (Do a branching diagram.) 3. What's the probability of drawing ve hearts in a row? (Do a branching diagram.) 9. What's the probability of drawing two hearts and a spade in three draws? (Do a branching diagram.) 10. What's the probability of drawing at least on red card in ve draws