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Urgent! Homework problem - need helps! Pleeeesszzz!

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  • G Gary Wheeler

    Use 6 pennies. Have the kids shake them in a cup, and pour them on a table. Count the number of heads.

    Software Zen: delete this;

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    Mike Holpuch
    wrote on last edited by
    #16

    It's been a while since I did any statistics, but does 6 pennies in a cup provide an even distribution? :^) I thought it would lean more heavily towards the middle numbers (3 and 4 or whatever). Of course, this is a kids' game, so it might not matter...

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    • M Mike Holpuch

      It's been a while since I did any statistics, but does 6 pennies in a cup provide an even distribution? :^) I thought it would lean more heavily towards the middle numbers (3 and 4 or whatever). Of course, this is a kids' game, so it might not matter...

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      moon_stick
      wrote on last edited by
      #17

      There are more solutions in the problem space that provide a central result (e.g. only one zero and one 6 - hhhhhh and tttttt) whereas you'll have around 1/3 of your distribution around '3' and about 1/4 for each of '2' and '4'.

      It definitely isn't definatley

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      • M Mike Holpuch

        It's been a while since I did any statistics, but does 6 pennies in a cup provide an even distribution? :^) I thought it would lean more heavily towards the middle numbers (3 and 4 or whatever). Of course, this is a kids' game, so it might not matter...

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        Gary Wheeler
        wrote on last edited by
        #18

        I believe 6 pennies matches the behavior of a single die, at least sufficiently for the purposes of a kid's game.

        Software Zen: delete this;

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        • N Nagy Vilmos

          It's not my homework and it's nothing to do with computers. I just need an idea and I need it in the next four hours! My eldest daughter is making a game for a school project. We've done most of it (actually I did the layout for her and she coloured it in). We've made lots of pretty counters and we know how the game will work. Even my three year old monster-angel (tm) understands. Now for the problem... We've been using dice, but (i) I'm not overly happy about it and (ii) I don't want her take the few dice we have to school and loose them. I thought I could find a few dice in one of the shops. Not on your Aunt Nelly's Life! So any ideas guys? Something a six year-old can make and use that will allow a bit of chance in travelling around what is basically a simple maze.


          Panic, Chaos, Destruction. My work here is done.

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          thrakazog
          wrote on last edited by
          #19

          Find yourself a D&D/ board game shop. Those usually have bins of loose dice you can buy dirt cheap. Send her to school with 20. If she comes back with 3 call it a win.

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          • G Gary Wheeler

            Use 6 pennies. Have the kids shake them in a cup, and pour them on a table. Count the number of heads.

            Software Zen: delete this;

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            Babant
            wrote on last edited by
            #20

            I understand the problem right, we need to find a substitute for throwing a dice. Probability of getting each one number on a dice is 1/6 ... one out of six ... something like 16.6% But when you throw six pennies, you have to use different formula for probability. That is: P(x) = (n above x) × p^x × (1-p)^(n-x), where n is number of pennies ... in our case 6, x is number of favorable events ... heads in our case, and p is probability of one favorable event ... in our case, heads or tails, 0.5 long story short :) Probability of getting 1 is 0,09375 Probability of getting 2 is 0,234375 Probability of getting 3 is 0,3125 Probability of getting 4 is 0,234375 Probability of getting 5 is 0,09375 Probability of getting 6 is 0,015625 Plus, there is probability of 0.015625 of getting 0

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            • G Gary Wheeler

              I believe 6 pennies matches the behavior of a single die, at least sufficiently for the purposes of a kid's game.

              Software Zen: delete this;

              J Offline
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              Jason Lepack LeppyR64
              wrote on last edited by
              #21

              Not even close to a regular die. Odds: 0 = 1/64 1 = 6/64 2 = 15/64 3 = 20/64 4 = 15/64 5 = 6/64 6 = 1/64

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              • N Nagy Vilmos

                It's not my homework and it's nothing to do with computers. I just need an idea and I need it in the next four hours! My eldest daughter is making a game for a school project. We've done most of it (actually I did the layout for her and she coloured it in). We've made lots of pretty counters and we know how the game will work. Even my three year old monster-angel (tm) understands. Now for the problem... We've been using dice, but (i) I'm not overly happy about it and (ii) I don't want her take the few dice we have to school and loose them. I thought I could find a few dice in one of the shops. Not on your Aunt Nelly's Life! So any ideas guys? Something a six year-old can make and use that will allow a bit of chance in travelling around what is basically a simple maze.


                Panic, Chaos, Destruction. My work here is done.

                B Offline
                B Offline
                Babant
                wrote on last edited by
                #22

                Just use a pencil. I don't know about your area, but where I'm from, most of the pencils are hexagonal. So you just write numbers 1 - 6 on each side and throw the pencil.

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                • B Babant

                  Just use a pencil. I don't know about your area, but where I'm from, most of the pencils are hexagonal. So you just write numbers 1 - 6 on each side and throw the pencil.

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                  Dan Neely
                  wrote on last edited by
                  #23

                  Eraser! Throw again. Point in Sussy's Eye. Call the lawyers! :doh:

                  Today's lesson is brought to you by the word "niggardly". Remember kids, don't attribute to racism what can be explained by Scandinavian language roots. -- Robert Royall

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                  • J Jason Lepack LeppyR64

                    Not even close to a regular die. Odds: 0 = 1/64 1 = 6/64 2 = 15/64 3 = 20/64 4 = 15/64 5 = 6/64 6 = 1/64

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                    Gary Wheeler
                    wrote on last edited by
                    #24

                    You've got to consider the audience here. This is for a kid's game. That means you've got to be able to explain how it works and the rules to a kid. KISS: Keep It Simple, Stupid. I doubt it matters that the distribution is not the same as with a regular die. Come to think of it, it does not matter. As long as the probability of each player getting the value of a particular 'roll' is the same as every other player's probability of getting that same roll, then the gameplay is fair.

                    Software Zen: delete this;

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                    • G Gary Wheeler

                      You've got to consider the audience here. This is for a kid's game. That means you've got to be able to explain how it works and the rules to a kid. KISS: Keep It Simple, Stupid. I doubt it matters that the distribution is not the same as with a regular die. Come to think of it, it does not matter. As long as the probability of each player getting the value of a particular 'roll' is the same as every other player's probability of getting that same roll, then the gameplay is fair.

                      Software Zen: delete this;

                      J Offline
                      J Offline
                      Jason Lepack LeppyR64
                      wrote on last edited by
                      #25

                      I did consider the audience. I didn't discount the fact that it was close enough for a kids game. I don't know any 6 year olds that read this forum. I discounted the fact that YOU mentioned that 6 coins in a cup closely modeled a standard die. ;P

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                      • N Nagy Vilmos

                        It's not my homework and it's nothing to do with computers. I just need an idea and I need it in the next four hours! My eldest daughter is making a game for a school project. We've done most of it (actually I did the layout for her and she coloured it in). We've made lots of pretty counters and we know how the game will work. Even my three year old monster-angel (tm) understands. Now for the problem... We've been using dice, but (i) I'm not overly happy about it and (ii) I don't want her take the few dice we have to school and loose them. I thought I could find a few dice in one of the shops. Not on your Aunt Nelly's Life! So any ideas guys? Something a six year-old can make and use that will allow a bit of chance in travelling around what is basically a simple maze.


                        Panic, Chaos, Destruction. My work here is done.

                        J Offline
                        J Offline
                        Joe Woodbury
                        wrote on last edited by
                        #26

                        You're kidding, right? You can get a box of dice at your local discount store for almost nothing--certainly for less than the effort it would take to come up with some lame work around.

                        Anyone who thinks he has a better idea of what's good for people than people do is a swine. - P.J. O'Rourke

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                        • J Jason Lepack LeppyR64

                          I did consider the audience. I didn't discount the fact that it was close enough for a kids game. I don't know any 6 year olds that read this forum. I discounted the fact that YOU mentioned that 6 coins in a cup closely modeled a standard die. ;P

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                          Gary Wheeler
                          wrote on last edited by
                          #27

                          As long as we're being pedantic here (and we are), I stated: "I believe 6 pennies matches the behavior of a single die, at least sufficiently for the purposes of a kid's game." The behavior in question is that of somewhat randomly choosing a value from one to six (I'll admit I missed the zero case), which is what matters as far as the game is concerned. The part of the statement in bold qualifies the first part.

                          Software Zen: delete this;

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                          • S Steve Dubyo

                            How about a "spinner"? a hexagonal peice of card with something along the lines of a toothpick or small pencil through the middle (taking appropriate health and safety precautions!), each side represents a number 1-6, give it a spin and whichever side it comes to rest on dictates the next move. It will give her a bit more colouring in to do too!

                            ;-]

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                            Roger Wright
                            wrote on last edited by
                            #28

                            Very clever! :-D I was going to suggest something involving a chunk of cheese and a small rodent...

                            "A Journey of a Thousand Rest Stops Begins with a Single Movement"

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                            • G Gary Wheeler

                              As long as we're being pedantic here (and we are), I stated: "I believe 6 pennies matches the behavior of a single die, at least sufficiently for the purposes of a kid's game." The behavior in question is that of somewhat randomly choosing a value from one to six (I'll admit I missed the zero case), which is what matters as far as the game is concerned. The part of the statement in bold qualifies the first part.

                              Software Zen: delete this;

                              J Offline
                              J Offline
                              Jason Lepack LeppyR64
                              wrote on last edited by
                              #29

                              Gary Wheeler wrote:

                              As long as we're being pedantic here (and we are)

                              Of course we are. Do we do anything else around here ;P

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                              • N Nagy Vilmos

                                It's not my homework and it's nothing to do with computers. I just need an idea and I need it in the next four hours! My eldest daughter is making a game for a school project. We've done most of it (actually I did the layout for her and she coloured it in). We've made lots of pretty counters and we know how the game will work. Even my three year old monster-angel (tm) understands. Now for the problem... We've been using dice, but (i) I'm not overly happy about it and (ii) I don't want her take the few dice we have to school and loose them. I thought I could find a few dice in one of the shops. Not on your Aunt Nelly's Life! So any ideas guys? Something a six year-old can make and use that will allow a bit of chance in travelling around what is basically a simple maze.


                                Panic, Chaos, Destruction. My work here is done.

                                L Offline
                                L Offline
                                Lost User
                                wrote on last edited by
                                #30

                                williamnw wrote:

                                My eldest daughter is making a game

                                williamnw wrote:

                                We've done most of it

                                williamnw wrote:

                                actually I did the layou

                                I see a recurring problem here - your eldest isn't making a game for hte school project - you are (although you seem to have let her do some painting - good on ya!) I'd be surprised if there aren't dice at school - kids will be familiar with dice from otgher games, so otehr forms of numerical randomisers can actually be less simple to them than using a dice - and if she takles tehm in and leaves them at school - buy some more! If you really don't want dice, other options are spinners (like a clock - number roundthe outside, some form of spinning pointer in the middle) but is hard for a 6 year old to fashion on that spins well, hexaganol spinners (much easier to make although you'd need to draw the hexagon - but hell, you done the rest of it :) you can use a short pencil for the axis. You can also use a sheet of paper, with large squares (or any shapes) drawn on, each with a number in. Roll a coin, or even a screwed up piece of paper, onto the sheet, and the number it lands on is the number - this does tend to be skill-driven though - and in my experience kids will try to cheat. Draw straws. Take however many straws (or strips of card) and write a number on one end - put them in a tub and draw on out - use the number. For younger kids (they see through it at six) you can use the 'daddies hand' method. Clench a fist, they tap your hand three times (one, two THREE!) and you open a number of fingers. That's all my ideas done for the day, and its only 8:00!

                                If I knew then what I know today, then I'd know the same now as I did then - then what would be the point? .\\axxx (That's an 'M')

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