egarciarosa
Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Sagot :

Answer:

4/28 (simplified to 1/7)

Step-by-step explanation:

Given:

  • There are 28 total students in the class
  • 9 of them play basketball
  • 17 of them play baseball
  • 6 of them play neither sport

Question:

What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answer:

  • Because we know there are 28 total students in the class and 6 play neither basketball nor baseball, then there are 28-6 = 22 students who either play ONLY basketball, ONLY baseball, or both
  • We know that 9 out of the 22 play basketball and 17 out of the 22 play baseball
  • Therefore, 22-9 = 13 students play ONLY basketball, and 22-17 = 5 students play ONLY baseball
  • This means that the amount of students that play BOTH basketball and baseball is 22-(13+5) = 22-18 = 4 students
  • Therefore, the probability that a student chosen randomly from the class plays both basketball and baseball is 4/28 or 1/7
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.