Question

A class of 12 girls and 14 boys is going to choose 3 students to represent them in student government. Allie suggested that the first 3 students to arrive in class the next day should be the representatives. Bobby suggested that each student roll 2 numbers cubes and the 3 students with the highest sum should be the representatives. Whose method would result in a fair sample that represents the class population, and why?

Answer 1

Allie, because every student has an equal chance to arrive first in class the next day

Allie, because students who arrive first in class are the most responsible

Bobby, because every student has an equal chance to get a high sum

Bobby, because students with the highest sum will be the most popular students

Answer 2

can you help me @kirbykirby

Answer 3

can someone please help me @kirbykirby and @amistre64

Answer 4

@Mathhelp123344

Answer 5

im never good with these word like questions, but it seems to me like 2 options sound the best. but i got no good way to really narrow it further.

Answer 6

what options

Answer 7

Well in probability terms, the fair way is the one in which every person has the same probability of being selected. From this, can you narrow down to whether Allie or Bobby's method would give an equal chance to everyone?

Answer 8

well, allie and bobby are each given 2 options ... and only one of each for them sounds reasonable to me. the others just do not sound mathical enough for me.

Answer 9

I say B makes sense

Answer 10

Or Allies method

Answer 11

B is not objective enough for me

Answer 12

A and C are my best bets, other than that id have to toss a coin :)

Answer 13

I don't agree with B either. A class has a mix of ppl that are "responsible" and not, so just picking from the early-comers is not necessarily representative of the whole class

Answer 14

yea your right but i can put two answers on my quiz

Answer 15

Now i say C looks better

Answer 16

I would go with C since the probability is much more probabilistic. We can;t guarantee that students arrive randomly to class in A

Answer 17

I like C the best, but i simply dont have a way to verify it :)

Answer 18

oh you can put 2 answers?

Answer 19

Because everyone has an equal chance

Answer 20

A might be more like a voluntary or convienent sample ... and not a true random sample.

Answer 21

because what if your bus runs late

Answer 22

no i cant put two answers @kirbykirby

Answer 23

oh ok lol. Well ya I think C is probably the best choice

Answer 24

I do too

Answer 25

C is iffy only in that the people who missed class that day dont get a chance to participate :)

Answer 26

How do you give medals?

Answer 27

if there is no blue button labeled 'best responce' then you might want to refresh your browser

Answer 28

Oh haha I suppose that could happen as well..

Answer 29

There is

Answer 30

did you get it

Answer 31

It was correct yay

Answer 32

yay

Answer 33

did you get the medal @kirbykirby

Answer 34

yes ty :)

Answer 35

NO thank you