Statistics Probability And Repeated Measures Questions

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 houseʹs 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, ʺDo you favor the death penalty?ʺ Of the 33 that answered ʺyesʺ

to the question, 14 were male. Of the 67 that answered ʺnoʺ to the question, six were male. If one

person 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.