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

13
13

30
30

15
15

10
10

1 answer

To find the probability of Outcome Y given that Outcome 2 occurs, we need to determine the total number of outcomes for Outcome 2, which will be used as the denominator in the probability formula \( P(A|B) = \frac{n(A \text{ and } B)}{n(B)} \).

From the table, the total for Outcome 2 is 13.

Thus, the correct number to use in the denominator is 13.