please I need help in solving these questions. thank you

1 ) Answer the following questions : "J A hand of 5- card draw poker is a simple random sample from the Standard deck of 52 cards. How many 5 draw poker hands are there? In 5-card Stud poker, the cards are dealt Sequentially and the order of appearance is important. b ) How many 5-stud poker hands are there? How many hands of 5-draw Poker contain the ace of hearts? What is the probability that a 5-card draw hand contains the ace of hearts ? 2) a) Everybody in ourtown is a fool or a knave or possibly both 55%% of the citizens are fools and 70 %% are knaves, One citizen Is randomly selected to be mayor, What is the probability that the mayor is both a fool and a knave? 6) What is the probability that the mayor is a fool but not a knave? A box in a certain supply room contains four 40-watt light bulbs. five 60-watt bulbs, and six 75- watt bulbs, Suppose that three bulbs are randomly selected. a) what is the probability that exactly one of the selected bulbs are rated 75-watt ? b) what is the probability that all three of the elected bulbs have the same rating? ( ) What is the probability that one bulb of each type is selected? d ) What is the probability that at least two of the selected bulbs are rated 75-watts