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|1)=

Explanation:

Step1: Recall the formula for conditional probability

The formula for conditional probability is \( P(C|1)=\frac{n(C\cap1)}{n(1)} \), where \( n(C\cap1) \) is the number of elements in the intersection of event \( C \) and event \( 1 \), and \( n(1) \) is the number of elements in event \( 1 \).

Step2: Identify the values from the table

From the table, \( n(C\cap1) = 5 \) (the number of people in Group 1 and Project C) and \( n(1)=21 \) (the total number of people in Group 1).

Step3: Calculate the probability

Substitute the values into the formula: \( P(C|1)=\frac{5}{21}\approx0.238 \)

Answer:

\(\frac{5}{21}\)