1 a) Based on a nationwide poll, a seller of printed advertisements estimates that 56% of all adults usually open all the mail they receive. If this is still the current rate at which adults open mail, what is the probability that in a random sample of 1000 adults, the number who usually open all of their mail will be

(a) Less than 541

(b) 570 or more?

b) Four Cards are drawn at random from a well shuffled pack of 52 cards, find the probability that

(i) They are a king, a queen, a jack and an ace,

(ii) Two are king and two are queens,

(iii) Two are black and two are red,

(iv) They should be one from each suit