Question

Refer to the Venn diagram below. What is the probability that a student plays football or baseball.

Answer 1

The probability that a student plays football or baseball is 28/33.

Step-by-step explanation:

From the Venn diagram, it can be determined that

The total number of students = 26+3+9+6+5+7+10 = 66 students.

• The No.of of students play football alone = 26
• The No.of students play baseball alone = 9
• The No.of students play basketball alone = 10

The Probability that a student plays football or baseball = No.of students who knows to play either football or baseball / Total no.of students.

• The No.of students who play both football and baseball = 3
• The No.of students who play both football and basketball = 10
• The No.of students who play both baseball and basketball = 7
• The No.of students play all the games = 5

Now, to find the no.of students who plays football or baseball :

⇒ Total students - (students who plays basket ball alone)

This is because, all the other category students knows to play either football or baseball.

⇒ 66 - 10

⇒ 56 students.

The no.of students who plays football or baseball is 56 students.

Therefore, P(student plays football or baseball) = 56/66 ⇒ 28/33

The Probability is 28/33 which is option D).