A poker player holds a flush when all 5 cards in the hand belongto the same suit (clubs, diamonds, hearts, or spades). Recall thata standard deck of cards contains 52 cards, 13 of each suit, andthat when the deck is well shuffled, each card dealt is equallylikely to be any of those that remain in the deck. (a) What is theprobability that the first card dealt is a spade? (b) What is theprobability that the second card dealt is a spade, given that thefirst is a spade? (c) What is the probability that the third carddealt is a spade, given that the first two are spades? (d) What isthe probability that the fourth card dealt is a spade, given thatthe first three are spades? (e) What is the probability that thefifth (and final) card dealt is a spade, given that the first fourare spades? (f) Using your answers to (a) - (e), find theprobability that you are dealt 5 spades. (g) The probability ofbeing dealt 5 hearts or 5 diamonds or 5 clubs is the same as theprobability of being dealt 5 spades. What is the probability ofbeing dealt a flush?