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(:title Ball Mixing Activity: 2 Balls - 3rd-6th grade probability :) [table border=1 cellpadding=5 width=100%] [row] [c] [table border=0] [row] [ valign=middle]%c12 exa%*** Click on  []Attach:Activity/cat1try.jpg  Attach:Activity/down_cat.gif [ valign=middle]%c12 exa% to see the whole action ***%% [tableend] ---- (:html:) (:htmlend:) >>&<< To use offline, download and unzip [[http://mathcasts.org/mtwiki/uploads/Activity/2balls_v2.zip|%exa%2balls_v2.zip%%]]. >>&<>&<< >>&<< Scratch file designed by [[mailto:emath@emathforall.com?subject=scratch|Linda Fahlberg-Stojanovska]]. [ valign=middle] (:div222 style="margin-left:3px":) %c12 mor b%Activity Notes%% >>&<< ---- We have 2 balls - %red%1 Red%% and %pra%1 Green%%. We mix and drop them into a vertical box. %c11 exa%What color ball drops first?%% >>&<< ---- >>&<< The following '''two events''' are mutually exclusive and complete. >>&<< [table border=0 cellpadding=5] [row] [ valign="middle"] (a) The %pra%green ball%% will drop first.  We call this event: %c11 pra%Green first%%. [c]Attach:Activity/green_first.jpg [row] [ valign="middle"] (b) The %red%red ball%% will drop first.  We call this event: %c11 red%Red first%%. [c]Attach:Activity/red_first.jpg >>&<< [tableend] ---- (:showhide init=show div=div1 lshow="+" lhide="-":) %c11 exa%Guided Activity%% (:div1 id=div1 :) >>&<< %c11 bgr%Do the experiment 200-1000 times.%% * What is the percent of %pra%green first%%? * What is the percent of %red%red first%%? >>&<< %sol%Now for some dreaded theory ...%% *Theoretically, how often should the %pra%green ball%% drop first into the box? *Theoretically, what is the probability that the %red%red ball%% will drop first? *Does this agree with your experimental results? *What other real life situations give this kind of probability? >>&<< (:div1end :) ---- (:div class="s9" style="margin-left:10px":) %sol%"Mutually exclusive" means both events cannot happen at same time and "complete" means no other event can occur.%% (:divend:) [tableend] (:div222end:) >>-<< * To change Scratch file, download and install freeware Scratch. See [[http://scratch.mit.edu|Scratch-MIT]] for more information. >>&<< ---- >>&<< %rel b%Related Topics%% * [[DiceDifference|Throw two dice and check their difference]] %sol s9%6th grade probability%% * [[4Balls2Boxes|4 Balls - 2 Reds and 2 Greens Drop into 2 Boxes]] %sol s9%8th grade probability%% * [[6Balls3Boxes|6 Balls - 3 Reds and 3 Greens Drop into 3 Boxes]] %sol s9%8-10th grade probability%% >>&<< ---- >>&<< (:showhide3 init=hide div=box4 lshow='Add Comment' lhide='Close':) >>id=box4<< (:commentbox:) >><< [table width=100% border=0] [row] [][[activity/| Attach:main/tri_purple_up_a.gif ]] [[activity/| Up one level]] [r](:html:) (:htmlend:) [tableend]