Page 424 - Math Smart - 7
P. 424

On this probability scale,
                                     •  an event that is impossible has a probability of 0.
                                     •     an event that is certain has a probability of 1.
                                     •    all other probabilities on this scale are between 0 to 1.

                                     Probabilities can also be written as decimals or percentages,
                                         impossible     unlikely     equally likely      likely        certain
                                                        unlikely





                                                          0.25            0.5            0.75
                                                         25%             50%             75%            100%
                         4 ''=1
                                                     0 e e


       Use the words impossible,
       unlikely, equally likely,
       likely or certain to describe
      the probability of each        The table shows a netbal! coach's estimates of the team's chances of winning their
       outcome.                      matches against three schools.
       a)  The day which follows
                                      School                                Chance of winning
           Wednesday is a Friday.
                                      Rose High                             0.1
       b)  The next 60 babies
           born in London will all    Crossroads High                       90%
           be boys.                   New Horizons High                     1
                                                                            2
           The next month will
           have at least 28 days.        a)   Which school is the team most unlikely to beat?
       d)  I  will be 4 metres tall      b)   Write this probability as a percentage.
           next year.
                                         a)   Which school is the team almost certain to beat?
      e)   You will be one year
                                         b)   Write this probability as a decimal.
           older this time next
           year.
                                         a)   Which school does the team have an even chance of scoring a win
      f)   Rolling a number                   against?
           smaller than six on a
                                         b)   Write this probability as a percentage.
           die.
                                         0    Write this probability as a decimal.
      g)   Rolling a number
                                     Solution
           smaller than seven on a
           die.                                    0                                                   1
      h)   A coin will land tails if              0%                        50%                       100%
           it is tossed.                           0      0.1  0.2  0.3  0.4  0.5  0.6  0.7  0.8  0.9   1
      i)   A drawing pin will land                 1       L  _l_     -J      I    I    I    I         -I
           point up if it drops on
          the floor.
                                                    Rose High        New Horizons High       Crossroads High
      j)   It will snow somewhere
                                         a)   Rose High School.
           in Russia next winter.
                                              The probability of the team beating Rose High School is 0.1. This is close
                                              to 0 on the probability scale which means the team is unlikely to beat
                                              Rose High School.

      ^20 UNIT 18          robabflity
   419   420   421   422   423   424   425   426   427   428   429