1. Suppose cards that are jack, queen, king, or ace are considered "royal cards", cards numbered 2, 3, 4 are called "low-numbered cards" and cards numbered 5, 6, 7, 8, 9, 10 are called "high-numbered cards". Twelve cards are selected at random (with replacement) from a standard deck of 52 cards. (a) (a) (5 points) What is the probability of obtaining three royal cards, four low-numbered cards, and five high-numbered cards? (b) (b) (5 points) What is the probability of obtaining three royal cards, four low-numbered cards, and five high-numbered cards, and all four suits (hearts, diamonds, clubs, and spades) occur among the five high-numbered cards