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Use the table to answer the question. Outcome 1 Outcome 2 Outcome 3 TOTAL Outcome X 4 9 2 15 Outcome Y 6 4 5 15 TOTAL 10 13 7 30 The table shows the various outcomes of two different events. In order to find the probability of Outcome Y given that Outcome 2 occurs, what number would you use in the denominator of your fraction when using the formula P(A|B)=n(A and B)n(B) ? (1 point) Responses 15 15 10 10 30 30 13

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To find the probability of Outcome Y given that Outcome 2 occurs, we use the formula for conditional probability:

\[ P(A | B) = \frac{n(A \text{ and } B)}{n(B)} \]

In this case:

  • A is Outcome Y
  • B is Outcome 2

To find \( n(B) \), you need the total number of occurrences for Outcome 2. From the table, Outcome 2 has:

  • Outcome X: 9 occurrences
  • Outcome Y: 4 occurrences

So, the total occurrences for Outcome 2 is:

\[ n(B) = 9 + 4 = 13 \]

Therefore, the number you would use in the denominator of your fraction when calculating \( P(Y | \text{Outcome 2}) \) is 13.