lilai3
  • lilai3
Determine whether rolling a 6-sided number cube is a good way to answer a 20-question multiple-choice test if there are 6 choices for each question. Justify your answer. Mr. D is picking teams for volleyball in gym by having the students count off by 2's. The 1's will be on one team and the 2's on the other. Would flipping a coin would work just as well to pick the teams? Justify your answer.
Mathematics
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katieb
  • katieb
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anonymous
  • anonymous
So, for the first part, you have a 1 in 6 chance of randomly rolling for the correct number. Do this 20 times. (1/6)^20 is your chance to get a 100%.
UnkleRhaukus
  • UnkleRhaukus
if you use random chance to answer multiple choice you can only expect to get 1 in 6 answers correct that is about 16.7%
anonymous
  • anonymous
If you want a specific grade, you will need to use the binomial equation.

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UnkleRhaukus
  • UnkleRhaukus
Mr D.s method will ensure that no two people in counting order are on the same team, with a coin toss there is an even chance that people in counting order will be on the same team
anonymous
  • anonymous
For the second part, you need to think about what can happen when flipping a coin. You COULD end up with everyone on the same team. If you make the assumption that there are limits, and that there is no preferential standing order, then flipping a coin is just as good. Since these are not given, however, flipping a coin does not guarantee an even number of people on each team.
UnkleRhaukus
  • UnkleRhaukus
ah , good point Vandreigan, i hadn't thought of that
anonymous
  • anonymous
Good old statistics and probability. Always some little thing to trip you up :D
lilai3
  • lilai3
lol.. i agree with you.. and of courze, MANY thanks to you... and of course @UnkleRhaukus!
anonymous
  • anonymous
Lilai3, have you covered the binomial equation in your class? For part 1, you can calculate the probability of a passing grade, if you have that equation. Otherwise, just realize that getting a perfect score has a very low probability.
lilai3
  • lilai3
what's binomial equation (r middle skoolers allowed to be here)?
anonymous
  • anonymous
Ah, no, you likely haven't covered it. It's an equation that can be used to calculate the probability of a set number of things happening given a set number of chances, regardless of order. You likely won't run into it until high school at the earliest!
anonymous
  • anonymous
Good luck, and don't overcomplicate the problems. Think carefully and you'll be just fine!
lilai3
  • lilai3
thank you berry much!
lilai3
  • lilai3
that... i apologize.... is a mistake....oh,poo!

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