A standard deck of poker cards has 52 cards. In the deck there are 13 different card types labeled: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. Each type has 4 cards, each in a different suit: clubs, diamonds, hearts and spades.

In the following identify the appropriate probability distribution. Give its parameters. Use the user-defined functions of the Random Variables Add-in to answer the numerical questions.

a. I am about to be dealt a hand of five cards (this is selection without replacement). I want to find the probability that at least three of the cards will be Aces.

b. The dealer will show me five cards. After each card is drawn, it is returned to the deck (this is selection with replacement). I want to find the probability that at least three of the cards shown are Aces.

c. The dealer will show me a series of cards. After each card is drawn, it is returned to the deck (this is selection with replacement). The dealer will keep showing me the cards until 3 aces are discovered. I want to find the probability that five cards or fewer cards must be shown.