To complete the two-way table, we need to fill in the missing values for the total number of boys and girls in French and German.
From the given information, we know that 14 boys chose German and 10 boys chose French. However, we don't have data on the number of girls choosing German or French.
Let's assume x girls chose German and y girls chose French.
Therefore, the completed two-way table would look like this:
French German Total
-----------------------------------
Boys 10 14 24
Girls y x x+y
Total 10+x 14+y 50
As for calculating the probability of picking a boy who chose German, we can use the formula:
P(Boy and German) = Number of boys who chose German / Total number of students
= 14 / 50
= 0.28 or 28%
Please note that without information about the number of girls choosing German or French, we cannot determine the specific values for boys and girls in each category.