A 5-card hand is dealt from a perfectly shuffled deck of playing cards. What is the probability of each of the following events? (a) What is the probability that the hand is a full house? A full house has three cards of the same rank and another pair of the same rank. For example, {4♠, 4♥, 4♦, J♠, J♣} is a full house. (b) What is the probability that the hand is a three of a kind? A three of a kind has 3 cards of the same rank. The other two cards do not have the same rank as each other and do not have the same rank as the three with the same rank. For example, {4♠, 4♦, 4♣, J♠, 8♥} is a three of a kind. (c) What is the probability that all 5 cards have the same suit? (d) What is the probability that the hand is a two of a kind? A two of a kind has two cards of the same rank (called the pair). Among the remaining three cards, not in the pair, no two have the same rank and none of them have the same rank as the pair. For example, {4♠, 4♦, J♠, K♣, 8♥} is a two of a kind.