Transcript Slide 1
Station 1 – Counting Principle, Permutations, & Combinations 1) Cindy is playing Scrabble and has the following letter tiles on her tray: A, L, S, T, D, R, L. How many different 7-letter arrangements are possible with the letters? 2) In a standard deck of cards, how many five-card hands are there? 3) Three men and three women are to be selected to represent a group of eleven men and fourteen women. How many ways can the representatives be selected? 4) Three people from a class of 21 will be selected for class president, class secretary and class treasurer. In how many ways can the three positions be determined? 5) Three different hardcover books and five different paperback books are placed on a shelf. How many ways can they be arranged if all the hardcover books must be kept together? 6) Henry has the choice of the following clothing items: a pair of jeans, a pair of corduroy pants, a striped dress shirt, a solid dress shirt, a polo shirt, sneakers, dress shoes, a black belt, and a brown belt. How many different outfit combinations can he make? Station 2 – Introduction to Probability 1) You draw 1 card from a standard deck of cards. Find each probability. a) P(Club) b) P(Odd numbered card) c) P(Ace of Hearts) d) P(Black face card) e) P(A Heart or a Queen) f) P(A Face card or a Diamond) 2) You draw 1 card from a standard deck of cards, then replace it and draw a second card. Find each probability. a) P(Club then a Heart) b) P(Ace then an Ace) c) P(Face card then the Two of Spades) d) P(Five then a Red Ten) 3) You draw 2 cards from a standard deck of cards, without being replaced. Find each probability. a) P(Two 10’s in a row) b) P(Two Diamonds in a row) c) P(Two Black Cards in a row) d) P(Two Face Cards in a row) 4) A jar contains 6 yellow, 8 purple and 5 orange marbles. Find each probability. a) What is the probability of picking a orange, orange, yellow, yellow, then yellow marble in that order. You are picking one at a time with no replacement. b) What is the probability of picking one yellow, then one purple, then one orange. (You are picking them one at a time with replacement). 5) Two dice are rolled. Find the probability of each outcome. a) The sum is at least 7. b) The sum is exactly 1. Station 3 – Introduction to Odds 1) Each ratio given represents the probability of an event. Change the ratio into odds. 4 a) 11 2 b) 3 c) 5 99 d) 7 4 2) Each ratio given represents the odds of an event. Change the ratio into the probability. 2 a) 23 3 b) 8 d) 4 5 e) 9 5 3) What are the odds of selecting a five at random from a standard deck of cards? 4) What are the odds of rolling an even number on a six-sided die? Station 4 – Sequences & Series Part 1 - Determine the sum of the first 15 terms for each arithmetic or geometric series. 1) 3 + 6 + 9 + 12 + … FORMULAS an a1 (n 1)d 2) 19 + 17 + 15 + 13 + … a n a1 r n 1 3) 2 + 4 + 8 + 16 + 32 + … 4) 20 + 10 + 5 + 2.5 + 1.25 + … a1 an S n n 2 Part 2 - Determine the sum of a series using summation notation. 5) 5 4n 5 n 1 6) 4 2 n 3 n 1 1 r n S n a1 1 r