If each of the three-letter words represented by unique...

If each of the three-letter words represented by unique paths in Fig 9-4 is written on a separate card and then all the cards are placed in a bowl, what is the probability that if you blindly selected coe card froen the bowl the word written on it would inclade the letter $\mathrm{W}$ ?

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Key Concepts

Probability

Probability is the measure of the likelihood that a particular event will occur, calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes. This concept is fundamental in assessing chance events and making predictions based on known possibilities.

Sample Space and Events

The sample space is the complete set of all possible outcomes in a probabilistic experiment, while an event is any subset of that sample space. Understanding how to define both the entire sample space and the event of interest is crucial for correctly computing probabilities.

Combinatorics and Counting Techniques

Combinatorics involves the use of counting principles to enumerate the number of possible outcomes or arrangements. In problems that require counting specific outcomes (like paths or sequences with certain characteristics), techniques such as permutations or combinations are employed to determine both the total number of outcomes and the number of favorable outcomes.

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