Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 6 5 8 19
Female 11 13 19 43
Total 17 18 27 62
If one student is chosen at random,
Find the probability that the student got a C:
Find the probability that the student was male AND got a "B":
Find the probability that the student was female OR got an "A":
"Find the probability that the student got a C"
- looks like there were 27 out of a total of 62 who got a C, so .....
"Find the probability that the student was male AND got a "B"
- according to your chart there were 5 males out of the 62 who got a B, so ....
"Find the probability that the student was female OR got an "A"
- total females = 43, total who got A = 17, females with an A = 11
so total females OR A = 43+17-11 = ....
so ........
To find the probability in each case, we need to calculate the number of ways the event can occur and divide it by the total number of possible outcomes.
1. Probability of getting a C:
In this case, there are 27 total students who received a C. Therefore, the probability of selecting a student who got a C is 27/62.
2. Probability of being male AND getting a "B":
First, we need to find the number of male students who got a B, which is 5. The total number of students is 62. Therefore, the probability of selecting a male student who got a B is 5/62.
3. Probability of being female OR getting an "A":
To find the number of female students or students who got an A, we need to add the number of female students (43) with the number of students who got an A (17). However, since there are some female students who also got an A, we need to subtract the intersection (students who are both female and got an A), which is 11. The result is 49. The total number of students is 62. Therefore, the probability of selecting a female student or a student who got an A is 49/62.
To summarize:
1. The probability of selecting a student who got a C is 27/62.
2. The probability of selecting a male student who got a B is 5/62.
3. The probability of selecting a female student or a student who got an A is 49/62.