1) A coin is tossed. Find the probability that the result is heads.2) A single six-sided die is rolled. Find the probability of rolling a seven.3) Determine the number of outcomes in the event. Then decide whether the event is a simple event ornot. Explain your reasoning: A computer is used to randomly select a number between 1 and 1000.Event A is selecting a number greater than 600.4) A shirt company has 4 designs each of which can be made with short or long sleeves. There are 7 colorpatterns available. How many different shirts are available from this company? Use the fundamentalcounting principle to solve the problem.5) You are dealt two cards successively without replacement from a standard deck of 52 playing cards.Find the probability that the first card is a two and the second card is a ten. Round your answer to threedecimal places. Use the Multiplication Rule.6) The access code to a houseʹs security system consists of eight digits. How many different codes areavailable if each digit can be repeated?7) A tourist in Ireland wants to visit four different cities. If the route is randomly selected, what is theprobability that the tourist will visit the cities in alphabetical order? Round your answer to three decimalplaces.8) How many ways can five people, A, B, C, D, and E, sit in a row at a movie theater if A and B must sittogether?9) How many ways can five people, A, B, C, D, and E, sit in a row at a movie theater if D and E will not sitnext to each other?10) A delivery route must include stops at four cities. How many different routes are possible?11) The Environmental Protection Agency must visit nine factories for complaints of air pollution. In howmany different ways can a representative visit five of these to investigate this week?12) One hundred people were asked, ʺDo you favor the death penalty?ʺ Of the 33 that answered ʺyesʺto the question, 14 were male. Of the 67 that answered ʺnoʺ to the question, six were male. If oneperson is selected at random, what is the probability that this person answered ʺyesʺ or was a male?1) A coin is tossed. Find the probability that the result is heads.
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