#1 Six performers are to present their comedy acts on a weekend evening at a comedy club. One of the performers insists on being the last stand-up comic of the evening. If this performer’s request is granted, how many different ways are there to schedule the appearances?
#2 Using the letters in the word “SQUARE”, How many 6- letter arrangements, with no repetitions, are possible if,
a) there is no any restriction,
b) the first letter is a vowel,
c) vowels and consonants are alternate, beginning with a consonant.
#3 We draw the top 8 cards from a well-shuffled standard 52-card deck.
Find the probability that:
(a) The 8 cards include exactly 3 aces.
(b) The 8 cards include exactly 2 kings.
(c) The probability that the 8 cards include exactly 3 aces, or exactly 2 kings, or both.
#4. How many different words (letter sequences) can be obtained by rearranging the letters in the word MASSACHUSETTS?
#5 A well-shuffled 52-card deck is distributed to 4 players such that each player gets same number of cards. Find the probability that each of the players gets an ace.
#6 You go to a party which has 1000 guests (including you).
a) What is the probability that exactly one other guest has the same birthday as you?
b) What is the probability that at least two guest have the same birthday as you?
#7 20% of all students are left handed. A class of size 20 meets in a room with 5 left handed and 18 right handed chairs. Find the probability that each student will have a chair to their needs?
#8 Suppose that two chess players had played numerous games and it was determined that the probability that Player A would win is 0.40, the probability that Player B would win is 0.35, and the probability that the game would end in a draw is 0.25. If these two chess players played 12 games, what is the probability that Player A would win 7 games, Player B would win 2 games, and the remaining 3 games would be drawn?
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Suggested Problems
P71-74: 2, 4, 6, 8, 10, 14, 16, 22, 24, 30, 36.
