Question 887281
p(none are greater than 7) = 8C3 / 11C3 = 56 / 165.


p(smallest will be 7) is the same as p(all are greater than or equal to 7).
4 numbers are greater than or equal to 7.
they are 7,8,9,10
p(smallest will be 7) = 4C3 / 11C3 = 4/165.


p(sum is 7)


as far as i can see, this can only be done in the following ways.


0,1,6
0,2,5
0,3,4
1,2,4


the probability is therefore 4 / 11C3 = 4/165.


i can't find anything wrong with your answers.
i couldn't really follow your formula for the last one, but the answer looks like it's what it should be.
they look good to me.