Math 141, Sem. I, 1998-99 (R.A. Brualdi) Handout 23 (December 4, 1998) Topic: Quiz #7 1. Urn I contains three Red and 6 Blue balls; urn II contains two Red and two blue balls. A ball is selected at random from urn I and put into urn II. A ball is selected at random from urn II, and then a second ball is selected at random from the remaining balls in urn II. Determine: a) the probability that of the balls selected from urn II, one is Red and the other is Blue. b) the probability that the two balls selected from urn II have the same color. ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Scratch work - I will not read this. ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Polished solution: 2. Consider an ordinary deck of cards, and a game in which a "hand" consists of 4 cards. Determine a) the probability that a hand consists of all aces; b) the probability that a hand consists of exactly two aces; c) the probability that a hand consists of one card of each of the four suits. ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Scratch work - I will not read this. ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Polished solution: