The question is shown in the picture attached
Answer:
Explanation:
<u>1. Find the elements that belong to the event A: The student plays basketball.</u>
These are represented by the names inside the blue circle:
- Fran, Juan, Illan, and Ella. Thus there are four possible outcomes for this event.
<u>2. Find the elements that belong to the event B: The student plays soccer.</u>
These are represented by the names inside the red circle:
- Mickey, Mai, Marcus, Ian, and Ellan. Those are five possible outcomes.
<u>3. Find the elements that play both sports:</u>
Those are the elements in the intersection of both circles: Iand and Ella.
Then, those are two elements.
<u>4. Find the Universe of students.</u>
These are 10 students: Karl, Jada, Gabby (who do not play either basketball or soccer), Fran, Juan, Ian, Ella, Michey, Mai, and Marcus.
<u>5. You want to determine P (A or B).</u>
That is the probability that a student plays basketball or soccer.
Using probability simbology:
- P (A or B) = P(A∪B) = P(A) + P(B) - P(A∩B)
- P(A or B) = 2/5 + 1/2 - 1/5 = 7/10