What is the probability that a student in a college of 650 students in both a math major and a computer science major ( assuming these events are independent) If there are 72 math majors and 105 computer science majors?
Multiplicaiton Rule:
P(math and computer)=P(math) *P(computer)
P(math and computer) = 72/650 * 105/650 = 0.018
The probability that a student enrolled at this college is a math and biology major is 0.018
It would help if you proofread your questions before you posted them.
Question is confusing. What are your asking for specifically?
What is the probability that a student in a college of 650 students in both a math major and a computer science major ( assuming these events are independent) If there are 72 math majors and 105 computer science majors?
To find the probability that a student is both a math major and a computer science major, we need to know the number of students who are math majors, the number of students who are computer science majors, and the total number of students.
Let's first find the probability of being a math major. There are 72 math majors out of 650 total students. So, the probability of being a math major is:
P(math major) = Number of math majors / Total number of students
= 72 / 650
= 0.111 (rounded to three decimal places)
Next, let's find the probability of being a computer science major. There are 105 computer science majors out of 650 total students. So, the probability of being a computer science major is:
P(computer science major) = Number of computer science majors / Total number of students
= 105 / 650
= 0.162 (rounded to three decimal places)
Since the events of being a math major and a computer science major are assumed to be independent, we can multiply the probabilities to find the probability of a student being both a math major and a computer science major:
P(both math major and computer science major) = P(math major) * P(computer science major)
= 0.111 * 0.162
= 0.018 (rounded to three decimal places)
Therefore, the probability that a student in a college of 650 students is both a math major and a computer science major is 0.018, or 1.8% (rounded to the nearest tenth of a percent).