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(2|b)=

Explanation:

Step1: Recall the formula for conditional probability

The formula for conditional probability is \(P(A|B)=\frac{P(A\cap B)}{P(B)}\). In the context of a contingency table, if \(A\) is the event of being in Group 2 and \(B\) is the event of being in Project B, then \(P(2|B)=\frac{\text{Number of elements in Group 2 and Project B}}{\text{Total number of elements in Project B}}\).

Step2: Identify the relevant values from the table

From the table, the number of elements in Group 2 and Project B is \(11\), and the total number of elements in Project B is \(20\).

Step3: Calculate the probability

\(P(2|B)=\frac{11}{20}= 0.55\)

Answer:

\(0.55\)