Question 2
In basketball the free-throw rate (FRT) of a player is the ratio of the number of his successful free throws to the number of all of his free throws. After the first half of a game Mateo's FRT was less than $75\%$, and at the end of the game it was greater than $75\%$. Can one claim with certainty that there was a moment when his FRT was exactly $75\%$? Answer the same question for $60\%$ instead of $75\%$?