Question

question 4 of 10
this table shows how many students from two high schools attended a
football game.

a student is randomly selected.
what is the probability that a student attended the game, given that the
student is from north beach? round your answer to two decimal places.

a. 0.65
b. 0.57
c. 0.48
d. 0.55

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 this problem, if \(A\) is the event that a student attended the game and \(B\) is the event that a student is from North Beach, then \(P(A|B)=\frac{\text{Number of North - Beach students who attended}}{\text{Total number of North - Beach students}}\).

Step2: Identify the relevant values from the table

From the table, the number of North - Beach students who attended the game is \(n = 110\), and the total number of North - Beach students is \(N=200\).

Step3: Calculate the probability

Substitute the values into the formula: \(P=\frac{110}{200}\). Simplifying \(\frac{110}{200}=\frac{11}{20}=0.55\).

Answer:

D. 0.55