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The probability that a college student belongs to a health club is 0.3. The probability that a college student lives off-campus is 0.4. The probability that a college student belongs to a health club and lives off-campus is 0.12. Find the probability that a college student belongs to a health club OR lives off-campus. Tip: P(A or B) = P(A) + P(B) - P(A and B) 0.54 0.58 0.70 0.82

Respuesta :

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.

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