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anonymous
 4 years ago
Assume that the committee consists of 8 Republicans
and 5 Democrats. A subcommittee of 4 is randomly selected
from all subcommittees of 4 which contain at least 1 Democrat.
What is the probability that the new subcommittee will contain
at least 2 Democrats?
anonymous
 4 years ago
Assume that the committee consists of 8 Republicans and 5 Democrats. A subcommittee of 4 is randomly selected from all subcommittees of 4 which contain at least 1 Democrat. What is the probability that the new subcommittee will contain at least 2 Democrats?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0lets see if we can figure out how many subcommittees contain at least one democrat, and i guess the best way to do it is figure out how many contain no democrats and subtract it from the total possible subcommittees

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0these things ar ekilling me and i have to have these done by 730 am

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0number of subcommittees with not restriction is \[\dbinom{13}{4}=\frac{13\times 12\times 11\times 10}{4\times 3\times 2}=715\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0number of subcommittees that are all republicans are \[\frac{8\times 7\times 6\times 5}{4!}=70\] so i guess we have \[71570=645\] total subcommittees that contain at least one democrat

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0that will be our denominator. now we have to figure out, of these 645 subcommittees with at least one democrat, how many have at least two

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok exactly one democrat number of ways would be \[\dbinom{5}{1}\dbinom{8}{3}\] aka \[5\times 56=280\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so subtract this off from 645 to get the number that contain more than 1 democrat. you get \[645280=365\] so our answer is \[\frac{365}{645}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you sure? i think the method is right. maybe a calculation error?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the more i think about it the more i think it is right. do you have an answer?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0im sorry not sure why it didnt work first time

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok did you try the other one i sent? is this an on line class?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0no but home work is submitted online...
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