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
30
30
13
13
15
15
10
1 answer
To find the probability of Outcome Y given that Outcome 2 occurs using the formula \( P(A|B) = \frac{n(A \text{ and } B)}{n(B)} \), we need to identify the denominator \( n(B) \), which is the total number of outcomes for Outcome 2.
From the table, Outcome 2 has a total of 13 occurrences (as shown in the TOTAL row for Outcome 2).
Therefore, the number you would use in the denominator of your fraction is:
13
