There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. What is the probability that a randomly chosen team has 3 or 4 girls?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (here_to_help15):
Can i get a medal : P
OpenStudy (anonymous):
use the probability formula :)
OpenStudy (here_to_help15):
awww : P fines u solve it
OpenStudy (here_to_help15):
nvm she left :P
OpenStudy (anonymous):
These ate the answer choices
0.44
0.51
0.62
0.85
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
Help?
OpenStudy (here_to_help15):
@phi
OpenStudy (anonymous):
@Here_to_Help15 Can you help me?
OpenStudy (anonymous):
I will give a medal
OpenStudy (phi):
the first step is figure out how many teams can be formed. you have 13 people and you need to pick 10
13 choose 10 is the number of teams
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
okay, then what? @phi
OpenStudy (phi):
now we need to figure out how many teams have either 3 girls or 4 girls.
then we divide that number by the total number from the first step to get the probability
OpenStudy (anonymous):
How do we do that? @phi
OpenStudy (phi):
if we have 3 girls on the team that means we have 7 boys (all of them) to get to 10 total
we have 6 choose 3 ways of picking 3 girls times 7 choose 7 of picking the boys
6C3 * 7C7
for 4 girls, we need 6 boys
we have 6C4 * 7C6
OpenStudy (phi):
add up those 2 expressions
what do you get?
Still Need Help?
Join the QuestionCove community and study together with friends!