Basic Concepts of Probability: Videos & Practice Problems

In the gameshow Lingo, a team that guesses a word correctly gets to draw two balls from a bin. Their $5\times 5$ board currently has $15$ squares marked and $10$ unmarked numbered squares remaining. Of those $10$ unmarked numbers, exactly $2$ would immediately complete a five-in-a-row (a “Lingo”). The bin contains $10$ numbered balls (one for each remaining unmarked square), $3$ prize balls (green), and $3$ red stopper balls. What is the probability that the team completes a Lingo on the very first draw (i.e., draws one of the $2$ winning numbered balls first)?