# Chapter 10 Counting Methods and Probability - 10.3 Define and Use Probability - 10.3 Exercises - Problem Solving - Page 704: 43a

$\frac{1}{24}$

#### Work Step by Step

The $4$ pegs can be placed in $4!=24$ ways on the board. Out of these, $1$ matches the player's guesses, hence the probability here is: $\frac{1}{24}$

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