Use the table to answer the 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

10
10

15
15

30
30

13

1 answer

To find the probability of Outcome Y given that Outcome 2 occurs, you need the total number of occurrences associated with Outcome 2. Looking at the table, the total occurrences for Outcome 2 are:

  • Outcome X: 9
  • Outcome Y: 4

The total for Outcome 2 is \(9 + 4 = 13\).

Therefore, the denominator of your fraction when using the formula \(P(A|B) = \frac{n(A \text{ and } B)}{n(B)}\) will be:

13