in a class of 19 students, 6 are female and 10 have an a in the class. there are 7 students who are male and…

in a class of 19 students, 6 are female and 10 have an a in the class. there are 7 students who are male and do not have an a in the class. what is the probability that a student who has an a is a male?

in a class of 19 students, 6 are female and 10 have an a in the class. there are 7 students who are male and do not have an a in the class. what is the probability that a student who has an a is a male?

Answer

Explanation:

Step1: Find the number of male students

Total students = 19, female students = 6. So, male students ( M=19 - 6=13).

Step2: Find the number of male students with an A

Number of male students without an A = 7. Let (x) be the number of male students with an A. Then (x = 13-7 = 6).

Step3: Use the probability formula

Probability (P=\frac{\text{Number of male students with an A}}{\text{Number of students with an A}}). Number of students with an A = 10. So (P=\frac{6}{10}=\frac{3}{5}).

Answer:

(\frac{3}{5})