At Jefferson Middle School, 12% of the students play volleyball and 5% of the students play volleyball and basketball. What is the probability that a student plays basketball given that he or she plays volleyball?A.0.6%B.24%C.41.7%D.6%SUBMITarrow_backPREVIOUS
Question
At Jefferson Middle School, 12% of the students play volleyball and 5% of the students play volleyball and basketball. What is the probability that a student plays basketball given that he or she plays volleyball?A.0.6%B.24%C.41.7%D.6%SUBMITarrow_backPREVIOUS
Solution
The question is asking for the probability that a student plays basketball given that he or she plays volleyball. This is a conditional probability problem.
The formula for conditional probability is P(B|A) = P(A and B) / P(A).
In this case, event A is that a student plays volleyball and event B is that a student plays basketball.
From the problem, we know that P(A) = 12% or 0.12 (the probability that a student plays volleyball) and P(A and B) = 5% or 0.05 (the probability that a student plays both volleyball and basketball).
Substituting these values into the formula gives us P(B|A) = 0.05 / 0.12 = 0.4167 or 41.67%.
So, the probability that a student plays basketball given that he or she plays volleyball is 41.67%, which corresponds to answer C.
Similar Questions
At Franklin High School, 15% of the students play basketball and 4% of the students play baseball and basketball. What is the probability that a student plays baseball given that he or she plays basketball?A.37.5%B.26.7%C.6%D.0.6%
There are 200 students in the 7th grade class at Brookside Middle School. Of these students, 12% play volleyball and 15% play baseball. Four students play on both teams. What is the probability that a student plays either volleyball or baseball?A.30%B.22%C.25%D.27%SUBMITarrow_backPREVIOUS
At a high school, 18% of the students play football and 6% of the students play football and baseball. What is the probability that a student plays baseball given that he plays football?A.1.1%B.3%C.33.3%D.10.8%SUBMITarrow_backPREVIOUS
At Monroe High School, 62% of all students participate in after-school sports and 11% participate in both after-school sports and student council. What is the probability that a student participates in student council given that the student participates in after-school sports?A.7%B.18%C.15%D.11%
In a certain Algebra 2 class of 30 students, 15 of them play basketball and 16 of them play baseball. There are 7 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.