MAT104 Algebra with Application Week 8 Homework with 28 Questions
1.) Assume that the pointer can never lie on a boarder line. Find the following probabilities.(Enter Each answer as a fraction )
2.)Suppose that you toss a coin and roll a die. What is the probability of obtaining each of the following combinations? (Enter your answers and fractions.)
3.) A single card is selected from an ordinary deck of cards. The sample space is shown in the following figure. Find the following probabilities. (Enter the answers either as fraction or as decimal rounded to three places.)
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4.) Consider a die with eight sides, marked one, two, three, and so on. Assuming equally likely outcomes, find the probability that the sum of two dice is the given number. (Enter the answer either as a fraction or as a decimal rounded to three places..)
5.) The campus vets club is having a raffle and is selling 1,200 tickets. If the people on your floor of the dorm bought 300 of those tickets what is the probability that someone on your floor will hold a winning ticket? (Enter the answer as a decimal)
6.) Poker is common game in which players are dealt five cards from a deck cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Find the requested probabilities (Use a calculator and give the answer to five decimal places.)
7.) Dice is popular game in gambling casinos. Two dice are tossed and various amounts are paid according to the outcome. In a certain game, if a three or six occurs on the first roll the player wins. What is the probability of winning on the first roll?
8.)Suppose you and an opponent each pick one of the spinners shown in the following figure. A “win” means spinning a higher number. Construct a sample space and determine which of the two spinners is more likely to win in the following cases.
12.) What is a probability of obtaining a sum of at least 6 when rolling a pair of dice?
13.) Choose a natural number between 1 and 28, inclusive. What is the probability that the number is a multiple of 3?
14.) A history teacher gives a 17 question T-F exam. In how many different ways can the test be answered if the possible answers are T or F, or possibly leave the answer blank?
15.) What is a probability of getting a license plate that has a repeated letter or digit if you live in state that has three letters followed by two numerals followed by three letters? (round to the nearest whole percent)
16.) Find the odds in favor of the event whose probability was given in the problem.
17.) Find the probability whose odds against are given in the problem. Odds against are 1 to 9.
18.) Find the probability whose odds in favor are given in the problem. Odds against are 9 to 5.
19.) What are the odds in favor of drawing face card from an ordinary deck of cards?
20.) What is a probability of obtaining exactly five heads in six flips of a coin, given that at least one is a head?