Answer:
The correct option is 2.
Step-by-step explanation:
Let A be the event that the college student belongs to a health club and B be the event that the college student lives off-campus.
The probability that a college student belongs to a health club is 0.3.
[tex]P(A)=0.3[/tex]
The probability that a college student lives off-campus is 0.4.
[tex]P(B)=0.4[/tex]
The probability that a college student belongs to a health club and lives off-campus is 0.12.
[tex]P(A\cap B)=0.12[/tex]
The probability that a college student belongs to a health club OR lives off-campus is
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
[tex]P(A\cup B)=0.3+0.4-0.12[/tex]
[tex]P(A\cup B)=0.58[/tex]
The probability that a college student belongs to a health club OR lives off-campus is 0.58. Therefore the correct option is 2.
