A flush in the card game of poker occurs if a player gets five cards that are all the same suit clubs diamonds hearts or spades Complete parts a through c to obtain the probability of being dealt a flush in five cards a Initially concentrate on one suit say diamonds There are 13 diamonds in a deck Compute P five diamonds P first card is diamonds and second card is diamonds and third card is diamonds and fourth card is diamonds and fifth card is diamonds In a standard 52 card deck P five diamonds Round to six decimal places as needed b A flush can occur if a player receives five clubs or five diamonds or five hearts or five spades Compute P five clubs or five diamonds or five hearts or five spades Note that the events are mutually exclusive In a standard 52 card deck P five clubs or five diamonds or five hearts or five spades Round to three decimal places as needed c A royal flush in the game of poker occurs if the player gets the cards Ten Jack Queen King and Ace all in the same suit Use the procedure given in parts a and b to compute the probability of being dealt a royal flush In a standard 52 card deck P royal flush night decimal places as needed