Ten students are applying for 3 positions on a team. the students include 4 boys (adam, alex, anthony, and arnold) and 6 girls (abbey, aurora, agnes, alice, amanda, and anna). all the students have an equal chance of being selected. find the probability that the students selected will include: a) at most 1 girl b) adam, anthony, and alice c) agnes and 2 other students

Question

Ten students are applying for 3 positions on a team. the students include 4 boys (adam, alex, anthony, and arnold) and 6 girls (abbey, aurora, agnes, alice, amanda, and anna). all the students have an equal chance of being selected. find the probability that the students selected will include:  a) at most 1 girl b) adam, anthony, and alice c) agnes and 2 other students

anonymous · Answer

no idea

anonymous · Answer

hey INewton

amistre64 · Answer

we could always do this the long way :)  and make a tree or chart

amistre64 · Answer

i havent been good yet at finding and filtering out all the redundnat possibilities :)

anonymous · Answer

can u do it using permutations and combinations?

amistre64 · Answer

not yet, taking stats this summer...can you wait til august :)

anonymous · Answer

ur taking ap stats?

amistre64 · Answer

college class...

amistre64 · Answer

im too old for ap i think

anonymous · Answer

oh do u know the answers though???

amistre64 · Answer

not any anwers that i would trust; is there a multiple choice with this?

anonymous · Answer

no

amistre64 · Answer

I know that with 3 positions avaiable; there are 10*9*8 possibilities; but how to remove the duplicates eludes me at the moment

amistre64 · Answer

we can always try to work with a similar situation; such as 2 spots to fill and 4 people; then see how to eliminate the duplicates

anonymous · Answer

try it

anonymous · Answer

The idea is that you try it.

anonymous · Answer

(although admittedly it's not personally how I would do it - but I hate statistics anyway)

amistre64 · Answer

dividing the total by 2 worked in that case on paper; let me try another

anonymous · Answer

?????

amistre64 · Answer

11 21 31 41
12 22 32 42
13 23 33 43
14 24 34 44

amistre64 · Answer

cross off all the duplicates

amistre64 · Answer

12      
13 23 
14 24 34

amistre64 · Answer

the total possible combination of 4 people and 2 spots is:

4*3/2

amistre64 · Answer

its the same for 5 people and 2 spots:

5*4/2

amistre64 · Answer

i wonder whatll happen with 3 spots...

anonymous · Answer

??????

amistre64 · Answer

4 people and 3 spots has 4 possibilities

amistre64 · Answer

how we factorial that I dont know...

amistre64 · Answer

3C4 maybe.. let me find an online cal

amistre64 · Answer

the formula is:

       people!
-----------------
spots!(people-spots)!

amistre64 · Answer

and thats the best i can do for you at the moment...

amistre64 · Answer

there seems to be 120 possible combonations; without repetition in all

anonymous · Answer

wait, so what's c d and e??

amistre64 · Answer

4 boys can form an all boy team 4 times; so I would think that the rest are sure to have at least 1 girl; 116 out of 120 is sure to have at least 1 girl

amistre64 · Answer

c is agnus plus 2 other students; so we can take agnus out of the mix and have 2 spots to fill;

    9!
------- = 36
2!(9-2)!

amistre64 · Answer

36 out of 120

amistre64 · Answer

what does it mean by positions?  like captain, assistant, and runner?  then we can have duplicates, just not the same person in all 3 spots and that changes things

anonymous · Answer

d is 36/120???

anonymous · Answer

????????