The probability of you making a free shot is 1/8. If you make 10 shots find P(at least 6 made)=
The probability is given by
nCr(10, 6)*(1/8)^6*(7/8)^4 +
nCr(10, 7)*(1/8)^7*(7/8)^3 +
nCr(10, 8)*(1/8)^8*(7/8)^2 +
nCr(10, 9)*(1/8)^9*(7/8) +
(1/8)^10
= about 0.00051 = about .051%
