Question

project a project b project c total group 1 7 9 5 21 group 2 9 11 9 29 total 16 20 14 50 p(c|2)=

Explanation:

Step1: Recall conditional probability formula

The formula for conditional probability is \( P(C|2)=\frac{n(C\cap2)}{n(2)} \), where \( n(C\cap2) \) is the number of elements in both \( C \) and \( 2 \), and \( n(2) \) is the number of elements in \( 2 \).

Step2: Identify values from the table

From the table, \( n(C\cap2) = 9 \) (the intersection of Group 2 and Project C) and \( n(2)=29 \) (total for Group 2).

Step3: Calculate the probability

Substitute the values into the formula: \( P(C|2)=\frac{9}{29} \).

Answer:

\(\frac{9}{29}\)