A deck of cards has 52 total cards 12 Black and 12 Red There

A deck of cards has 52 total cards, 1/2 Black and 1/2 Red. There are 4-Suits; Hearts, Clubs, Diamonds, and Spades. In each suit there are 3 Face Cards. Round all answers to the nearest 10th of a percent. What is the probability of picking a random card from a shuffled deck will be a King or an Ace? What is the probability of selecting a Red Card or a Queen? What is the probability of selecting a Jack, putting it back, and randomly choosing another Jack? What is the probability of selecting a Queen, setting this down, and then selecting another Queen from the deck? In other words what is the probability of dealing yourself two Queen\'s in a row? What is the probability of selecting a Jack, setting this down, and then selecting an Ace from the deck? In other words what is the probability of dealing yourself a Jack card first and then an Ace?

Solution

a) total king and aces = 8

prob = 8/52

b) total red and queen = 26 + 2

prob = 28/52

c) 4/52 * 4/52 (four jacks and total cards are 52 in both cases)

d) 4/52 * 4/52 (four queens and total cards are 52 in both cases)

e) 4/52 * 4/51 ( 4/51 becuase now total cards are 51 and favourable evets is 4)