after giving a test to a group of students, below is the summary of grades and gender.\n| | a | b | c |…

after giving a test to a group of students, below is the summary of grades and gender.\n| | a | b | c | total |\n|--|--|--|--|--| \n| male | 9 | 3 | 2 | 14 |\n| female | 18 | 20 | 15 | 53 |\n| total | 27 | 23 | 17 | 67 |\nif a student is randomly chosen, find the probability that the student is male and earned a a. leave your answer as a reduced fraction.\nquestion help: video

after giving a test to a group of students, below is the summary of grades and gender.\n| | a | b | c | total |\n|--|--|--|--|--| \n| male | 9 | 3 | 2 | 14 |\n| female | 18 | 20 | 15 | 53 |\n| total | 27 | 23 | 17 | 67 |\nif a student is randomly chosen, find the probability that the student is male and earned a a. leave your answer as a reduced fraction.\nquestion help: video

Answer

Explanation:

Step1: Identify relevant values

The number of male students who earned an A is 9, and the total number of students is 67.

Step2: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the probability that a randomly - chosen student is male and earned an A is $P = \frac{9}{67}$. Since 9 and 67 have no common factors other than 1, the fraction is already in reduced form.

Answer:

$\frac{9}{67}$