a) The probability of a student getting a "C" is 28/73.
b) The probability of a student being female and getting an "A" is 11/73.
c) The probability of a student being female or getting an "A" can be calculated by adding the probabilities of being female and getting an "A", and then subtracting the probability of being female and getting an "A".
d) The probability of a student being male given they got a "B" is 18/21.
a) The probability that the student got a "C" can be found by dividing the number of students who got a "C" by the total number of students. In this case, the number of students who got a "C" is 28, and the total number of students is 73.
Probability of getting a "C" = Number of students who got a "C" / Total number of students
= 28 / 73
b) To find the probability that the student was female AND got an "A", we need to divide the number of female students who got an "A" by the total number of students. From the table, we can see that the number of female students who got an "A" is 11.
Probability of being female AND getting an "A" = Number of female students who got an "A" / Total number of students
= 11 / 73
c) To find the probability that the student was female OR got an "A", we can add the probability of being female and the probability of getting an "A", and then subtract the probability of being female AND getting an "A".
Probability of being female OR getting an "A" = (Number of female students / Total number of students) + (Number of students who got an "A" / Total number of students) - (Number of female students who got an "A" / Total number of students)
d) To find the probability that the student was male GIVEN they got a "B", we need to divide the number of male students who got a "B" by the total number of students who got a "B". In the table, we can see that the number of male students who got a "B" is 18, and the total number of students who got a "B" is 21.
Probability of being male GIVEN getting a "B" = Number of male students who got a "B" / Total number of students who got a "B"
= 18 / 21
The question probable may be:
Giving a test to a group of students, the grades and gender are summarized below.
A B C Total
Male 13 18 9 40
Female 11 3 19 33
Total 24 21 28 73
If one student is chosen at random,
a) find the probability that the student got a "C".
b) find the probability that the student was female AND got an "A".
c) find the probability that the student was female OR got an "A".
d) find the probability that the student was male GIVEN they got a "B".