Assignment 3 - Chapter 3 Homework 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 or not. 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 color patterns available. How many different shirts are available from this company? Use the fundamental counting 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 three decimal places. Use the Multiplication Rule. 6) The access code to a houses security system consists of eight digits. How many different codes are available 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 the probability that the tourist will visit the cities in alphabetical order? Round your answer to three decimal places

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 sit together? 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 sit next 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 how many different ways can a representative visit five of these to investigate this week? 12) One hundred people were asked, Do you favor the death penalty? Of the 33 that answered yes to the question, 14 were male. Of the 67 that answered no to the question, six were male. If one person is selected at random, what is the probability that this person answered yes or was a male?