Page 224 - Math Course 3 (Book 2)
P. 224

Probability Simulations





         Your Turn!


        Simulation
         In the last 52 days, it has rained 4 times. What   In the last 52 days, it has rained 4 times. Describe
         could be used to simulate whether it will rain on a   a way to simulate whether it will rain in the next
         given day?                                        15 days.

         A. deck of cards                                  A. Heads is a rainy day, tails is sunny. Flip coin 15
         B. coin                                               times.
         C. die
         D. spinner with 4 sections                        B. Let a 1 be a rainy day and 2–6 be not rainy. Roll
                                                               it 15 times.

                                                           C. Let one color on a spinner be a rainy day and
           Answer                                              the other 3 be not rainy. Spin it 15 times.

                                                           D. Let the aces equal a rainy day. Draw cards 15
                                                               times and record the results.

                                                             Answer

        Theoretical and Experimental Probability

         In baseball, the Cleveland Indians and Chicago White
         Sox play each other five times in the next week.
         The manager would like to figure out the most likely
         mix of wins and losses.
                                                      1
         Assume that P (Indians win) = P(White Sox win) =
                                                      2

         What objects can be used to model the possible
         outcomes of the games?

         A. Flip five coins.
         B. Roll a 6-sided number cube.
         C. Use a deck of cards.                          Outcomes                           Frequency
         D. Spin a spinner with 4 equal sections.
                                                          Indians win every game                 2
            Answer                                        Indians win four ,White Sox win one    7
                                                          Indians win three ,White Sox win two  10
         Find the theoretical probability that the Indians will
         win three games.                                 Indians win two ,White Sox win three   7
                                                          Indians win one ,White Sox win four    4
         A.  1
            2                                             White Sox win every game               1
         B.  1
            8                                            Below are the results of the last thirty 5-game series
         C.  5                                           between the two teams. Find the experimental
           16                                            probability.
         D.   9
           16                                            A. 33%
            Answer                                       B. 50%
                                                         C. 66%
                                                         D. 75%



                                                           Answer

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