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It is known that 20% of all students in some large university are overweight, 20% exercise regularly and 2% are overweight and exercise regularly. What is the probability that a randomly selected student is either overweight or exercises regularly or both?

Respuesta :

Answer:0.38

Step-by-step explanation:

Let total Students be x

then 20% is overweight(A)

20 % exercise regularly(B)

2 % are overweight and exercise regularly

Probability that  a randomly selected is either overweight or exercises regularly or both

i.e. [tex]P\left ( A\cup B \right )=P\left ( A \right )+P\left ( B\right )-P\left ( A\cap B\right )[/tex]

[tex]P\left ( A\cup B \right )=0.2+0.2-0.02=0.38[/tex]