In a certain Algebra 2 class of 22 students, 5 of them play basketball and 11 of them play baseball. There are 3 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
The probability that a student chosen randomly from the class plays basketball or baseball is 18/22, or approximately 0.818.
To find the probability that a student chosen randomly from the class plays basketball or baseball, we need to find the number of students who play basketball or baseball and divide it by the total number of students.
First, let's determine the number of students who play basketball or baseball. We can do this by adding the number of students who play basketball (5) and the number of students who play baseball (11), and then subtracting the number of students who play both sports (3). This is because by adding all the students who play basketball and baseball, we are counting the students who play both sports twice, so we need to subtract it once to avoid double-counting.
Therefore, the number of students who play basketball or baseball is 5 + 11 - 3 = 13.
Next, we need to find the total number of students in the class, which is given as 22.
Now, we can calculate the probability by dividing the number of students who play basketball or baseball (13) by the total number of students (22):
Probability = Number of students who play basketball or baseball / Total number of students
= 13 / 22
Therefore, the probability that a student chosen randomly from the class plays basketball or baseball is 13/22, which can be simplified to approximately 0.59 or 59%.
To find the probability that a student chosen randomly from the class plays basketball or baseball, we need to determine the total number of students playing basketball or baseball.
First, we calculate the total number of students playing basketball:
Total students playing basketball = Number of students playing basketball - Number of students playing both sports
= 5 - 3
= 2
Next, we calculate the total number of students playing baseball:
Total students playing baseball = Number of students playing baseball - Number of students playing both sports
= 11 - 3
= 8
Since we want to find the probability of a student playing basketball or baseball, we need to consider the students who play both sports only once. Therefore, we add the number of students playing basketball and the number of students playing baseball, subtracting the number of students playing both sports once:
Total students playing basketball or baseball = Total students playing basketball + Total students playing baseball - Number of students playing both sports
= 2 + 8 - 3
= 7
Finally, we calculate the probability of a student chosen randomly from the class playing basketball or baseball:
Probability = Number of students playing basketball or baseball / Total number of students in the class
= 7 / 22
= 0.3182 (rounded to four decimal places)
Therefore, the probability that a student chosen randomly from the class plays basketball or baseball is approximately 0.3182.