Answer to Question #337736 in Statistics and Probability for betty

Question

In a certain Algebra 2 class of 28 students, 14 of them play basketball and 7 of them play baseball. There are 2 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answer 1

$2$ students in the class play both sports. It means that $14-2=12$ students play only basketball and $7-2=5$ students play only baseball. Thus, there are $2+12+5=19$ students that play basketball or baseball. The probability that a randomly chosen student plays basketball or baseball is $\frac{19}{28}\approx0.6786$. (it is rounded to $4$ decimal places)

Answer: $0.6786$. (it is rounded to $4$ decimal places)