The probability of a baseball team winning a game is 7/11. Based on this, answer the following. (a) Find the odds of the team winning a game. _________:__________ (b) Find the odds of the team not winning a game. _______:_______

The odds that a horse will win a race are 4 to 11. The odds that the horse will come in second place are 1 to 4. What are the odds of the horse coming in at first place or second place?   Answer: _____________________________________________________________

A pet store has 10 ​puppies, including 3 ​poodles, 4 ​terriers, and 3 retrievers. If Rebecka and​ Aaron, in that​ order, each select one puppy at random with replacement​ (they may both select the same​ one), find the probability that they both select a poodle. The probability is ______________ ​(Type an integer or a simplified​ fraction.)

Part I: Probability For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4,2)/24 instead of 0.375. 5. You are playing Scrabble and you draw seven tiles: M, A, T, C, H, E, S. You line them up in some random order on your tile rack (assume all orderings are equally likely). The events M, T, and S are defined as follows: M: The tiles M, A, T, H appear consecutively. T: The tile T appears exactly in the middle (fourth position). S: The tile S is either in the first position or in the final position. Calculate the probability of each event; that is, p(M), p(T), and p(S). 5.1 5.2 What is p(MIT)? 5.3 What is p(MIS)? 5.4 5.5 What is p(T|S)? Consider all pairs of events: (M,T), (M,S), and (T,S). Which pairs of events are independent and which pairs of events are not independent? Justify your answer.