Use the table to answer the question.

Question

Various Outcomes of Different Types of Events
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

Answer 1

To find the probability of Outcome Y given that Outcome 2 occurs, you will need to focus on the number of occurrences for Outcome 2, which is represented in the total column for Outcome 2.

From the table, the total count for Outcome 2 is:

• Outcome X: 9
• Outcome Y: 4

Adding those together gives us a total of 9 + 4 = 13 occurrences for Outcome 2.

Using the formula for conditional probability \( P(A|B) = \frac{n(A \text{ and } B)}{n(B)} \), the denominator \( n(B) \) is the total number of occurrences of Outcome 2, which is 13.

Therefore, the correct answer for the denominator of your fraction is:

13