# Question

In the gameshow Lingo, the team that correctly guesses a mystery word gets a chance to pull two Lingo balls from a bin. Balls in the bin are labeled with numbers corresponding to the numbers remaining on their Lingo board. There are also three prize balls and three red “stopper” balls in the bin. If a stopper ball is drawn ﬁrst, the team loses their second draw. To form a Lingo, the team needs ﬁve numbers in a vertical, horizontal, or diagonal row. Consider the sample Lingo board on the next page for a team

that has just guessed a mystery word.

(a) What is the probability that the ﬁrst ball selected is on the Lingo board?

(b) What is the probability that the team draws a stopper ball on its ﬁrst draw?

(c) What is the probability that the team makes a Lingo on their ﬁrst draw?

(d) What is the probability that the team makes a Lingo on their second draw?

that has just guessed a mystery word.

(a) What is the probability that the ﬁrst ball selected is on the Lingo board?

(b) What is the probability that the team draws a stopper ball on its ﬁrst draw?

(c) What is the probability that the team makes a Lingo on their ﬁrst draw?

(d) What is the probability that the team makes a Lingo on their second draw?

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