anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
no idea
anonymous
  • anonymous
hey INewton
amistre64
  • amistre64
we could always do this the long way :) and make a tree or chart

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More answers

amistre64
  • amistre64
i havent been good yet at finding and filtering out all the redundnat possibilities :)
anonymous
  • anonymous
can u do it using permutations and combinations?
amistre64
  • amistre64
not yet, taking stats this summer...can you wait til august :)
anonymous
  • anonymous
ur taking ap stats?
amistre64
  • amistre64
college class...
amistre64
  • amistre64
im too old for ap i think
anonymous
  • anonymous
oh do u know the answers though???
amistre64
  • amistre64
not any anwers that i would trust; is there a multiple choice with this?
anonymous
  • anonymous
no
amistre64
  • amistre64
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
  • amistre64
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
  • anonymous
try it
anonymous
  • anonymous
The idea is that you try it.
anonymous
  • anonymous
(although admittedly it's not personally how I would do it - but I hate statistics anyway)
amistre64
  • amistre64
dividing the total by 2 worked in that case on paper; let me try another
anonymous
  • anonymous
?????
amistre64
  • amistre64
11 21 31 41 12 22 32 42 13 23 33 43 14 24 34 44
amistre64
  • amistre64
cross off all the duplicates
amistre64
  • amistre64
12 13 23 14 24 34
amistre64
  • amistre64
the total possible combination of 4 people and 2 spots is: 4*3/2
amistre64
  • amistre64
its the same for 5 people and 2 spots: 5*4/2
amistre64
  • amistre64
i wonder whatll happen with 3 spots...
anonymous
  • anonymous
??????
amistre64
  • amistre64
4 people and 3 spots has 4 possibilities
amistre64
  • amistre64
how we factorial that I dont know...
amistre64
  • amistre64
3C4 maybe.. let me find an online cal
amistre64
  • amistre64
the formula is: people! ----------------- spots!(people-spots)!
amistre64
  • amistre64
and thats the best i can do for you at the moment...
amistre64
  • amistre64
there seems to be 120 possible combonations; without repetition in all
anonymous
  • anonymous
wait, so what's c d and e??
amistre64
  • amistre64
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
  • amistre64
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
  • amistre64
36 out of 120
amistre64
  • amistre64
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
  • anonymous
d is 36/120???
anonymous
  • anonymous
????????

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