egarciarosa
Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.