# Question 19

Challenge question #19 (11/07/2016)

Junior Question

Two hundred seeds are planted in $20$ rows of ten seeds per row. Assuming that each seed independently germinates with probability $\frac{1}{2}$, find the probability that at least one of the rows will have $10$ seedlings.

Prove that for acute angles $A$ and $B$, $\tan{A}+\tan{B}+2\leq\sqrt{2}\left(\sec{A}+\sec{B}\right)$.