In: Statistics and Probability
) The popular card game UNO has a deck of 108 cards. Four are ‘Wild’, and four are ‘Wild Draw Four’. The remaining cards are grouped into four suits — Blue, Green, Red, and Yellow — with 25 cards per suit. The cards within each suit are a single zero card, two each of the cards one through nine, two ‘Draw Two’ cards, two ‘Skip’ cards, and two ‘Reverse’ cards. (a) If you draw one card at random from a complete UNO deck, what is the probability that . . . i. . . . it is Yellow? ii. . . . it is an even–numbered card? (Note: Named cards (‘Draw’, ‘Wild’, etc.) are not numbered.) iii. . . . it is either a Yellow card or a ‘Draw Two’ card? (b) If you deal a seven–card hand from a complete UNO deck, what is the probability that all seven cards are Red?