The probability that a student who is chosen randomly from the class plays both basketball and baseball is 0.185.
What is probability?
Probability is the ratio that shows the likelihood an event will occur or not from a given set of events.
The probability that the student will play both sports can be found below:
Probability of students who play basketball = P(A) = 7/27
Probability of students who play baseball = P(B) = 18/27
It is given that 7 students don't play any sport.
Total number of students = 27 students.
Therefore, the probability of students who play either basketball or baseball or both = P(A∪B)
= (27 - 7)/27 = 20/27
We know that, P(A∪B) = P(A) + P(B) - P(A∩B)
20/27 = 7/27 + 18/27 - P(A∩B)
P(A∩B) = 25/27 - 20/27
P(A∩B) = 5/27
= 0.185 = Probability that a student chosen randomly from the class plays both basketball and baseball.
Therefore, we have found that the probability that a student chosen randomly from the class plays both basketball and baseball is 0.185.
Learn more about probability here: https://brainly.com/question/7965468
#SPJ2
