Probability - DOC

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					Math 7 – Assignment #9                                     Name
Chapter 10 – Probability                                   Date

Use the Counting Principle to find the number of outcomes in each situation.
1.    Like a typical boy, Kyle does not care if any of his clothes match. Knowing this, how
      many outfits he can create with his ten shirts, four shorts and three pairs of shoes?


2.    Janice goes to Subway for lunch every day. If there are three different rolls, five
      different meats, four different cheeses, six different beverages and two different
      cookies, how many times can she get something different for lunch?


Compute each factorial product.
3.    Compute five factorial, (5!).


4.    Compute four factorial minus seventeen, (4! – 17).


Ten red, seven white and eight blue marbles are in a bag. Find the probability of each
event and write your answer as a percent.
5.    White                                   6.     Purple


7.    Not blue                                8.     Red or blue


9.    Not blue or not white                   10.    White and blue


11.   White or yellow                         12.    A marble




13.   Describe a bag of marbles in which the following probabilities exists:

                 2                      7              3
      P(red) =     , P(red or black) =    , P(blue) =
                 5                     10             10
The spinner at the right is equally likely to stop at any of the eight numbers. Find the
probability of each event and write your answer as a fraction.
14.   An even number                   15.    A prime number                      45   1
                                                                             15             23
16.   A factor of 40                   17.    A multiple of 5                40               4

                                                                                  7    38
18.   15 and 38                        19.    7, 10 or 15



Find the probability of each event when a fair die is rolled.
20.   A whole number                          21.   A nine


22.   A number less than 1                    23.   A number greater than 4


24.   The number 2, 4, 5 or 6                 25.   A 1 and a 3



A card is drawn from a standard deck of 52 cards. Find the probability of each event.
26.   A red queen                             27.   A joker


28.   A face card                             29.   Not a heart


30.   A seven and an ace                      31.   A number card


32.   Not a red card                          33.   A number card between 5 and 9



34.   How many three-letter permutations can you form from eleven different letters?


35.   There are thirty contestants in a talent contest. Trophies are given to the top three
      performers. How many different ways could the trophies be awarded?
36.   a.   Draw a tree diagram or list the sample space to show the possible outcomes for
           picking a day of the week and a color from purple, blue and green.




      b.   How many of these outcomes include a day of the week beginning with an “S”?


37.   a.   Draw a tree diagram or list the sample space to show the possible outcomes for
           answering a multiple-choice question, A, B, C, or D and then answering a
           true/false question, T or F.




      b.   How many outcomes include a vowel?


38.   Think of events that happen during a typical baseball game.
      a.   Name one event whose probability of occurring is 0 and explain why.

           Event ___________________________________________________________

           Reason __________________________________________________________

            _______________________________________________________________

      b.   Name one event whose probability of occurring is 1 and explain why.

           Event ___________________________________________________________
           Reason __________________________________________________________
            _______________________________________________________________

				
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