Consider a standard deck of 52 cards (i. e. the cards are numbered Ace, 2 through 10, Jack, Queen, and King in each of four suits: hearts, diamonds, spades, and clubs). Assume that 3 cards are drawn from the deck at random. Rounding to four decimals, calculate the probability that: a) all cards drawn are royals (jacks, queens, kings) when draws are done with replacement. b) at least one card drawn is a heart when draws are done without replacement.