Question

This table shows how many students from two high schools attended a

football game
Attended the game
Total
Did not attend
the game
90
Westville
60
150
North Beach
110
90
200
Total
170
180
350
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,
O A. 0.57
B. 0.48
C. 0.55
OD. 0.65

Answer 1

The probability that a North Beach student attended the game is calculated by dividing the number of attendees from North Beach (110) by the total number of North Beach students (200), resulting in a probability of 0.55.

Step-by-step explanation:

The probability that a student attended the game, given that the student is from North Beach, is calculated by taking the number of North Beach students who attended the game and dividing it by the total number of North Beach students. To find this, we look at the data provided:

• Number of North Beach students who attended: 110
• Total number of North Beach students: 200

We use the formula for conditional probability:

Probability = Number of North Beach students who attended the game / Total number of North Beach students

Now we just plug in the numbers:

Probability = 110 / 200 = 0.55

Therefore, the probability that a student attended the game, given that the student is from North Beach, is 0.55, which rounds to two decimal places as given in the choices.