Answer
$\displaystyle \frac{4}{15}$
Work Step by Step
$P(E)=\displaystyle \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{n(E)}{n(S)}$
$n(S)=C(10,4)=210$
$ E$= (1 of 1 with highest yield) AND (0 of the lowest one)
AND (3 of the remaining 8)
$n(E)=C(1,1)\cdot C(1,0)\cdot C(8,3)=56$
$P(E)=\displaystyle \frac{56}{210}=\frac{4}{15}$