Question

PLEASE HELP! WILL GIVE MEDAL AND FAN!
There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what is the probability of selecting a team of 4 girls and 6 boys?

0.308

0.367

0.461

0.667

Answer 1

probability = (number of favorable outcomes) / (total number of outcomes)

Answer 2

find them and take the ratio

Answer 3

6+7 = 13

how many ways can you choose 10 players from 13 players ?

Answer 4

Hint:
One way is to pick the students who DON'T make the team, namely one boy and 2 girls.
P(BGG)=P(GBG)=P(GGB)=(7/13*6/12*5/11)=35/286
so P(BGG)+P(GBG)+P(GGB) is the required probability.

Note: there may be other approaches.