The following two-way frequency table shows information collected from a survey of teenagers regarding how they spend their screen time and whether they wear glasses.

Glasses vs.
Screen Time Uses the
Internet Watches
TV Total
Wears
Glasses 4 8 12
Does Not
Wear Glasses 3 5 8
Total 7 13 20

Are "Does Not Wear Glasses" and "Uses the Internet" independent, and why?

Select the option that correctly answers both questions.

Yes, because P(Does Not Wear Glasses)⋅P(Uses the Internet)=0.40⋅0.35=0.14; P(Does Not Wear Glasses∩Uses the Internet)=0.15; and 0.14≈0.15.

No, because P(Does Not Wear Glasses)⋅P(Uses the Internet)=0.40⋅0.25=0.05; P(Does Not Wear Glasses∩Uses the Internet)=0.15; and 0.05≠0.15.

Yes, because P(Does Not Wear Glasses)⋅P(Uses the Internet)=0.20⋅0.60=0.12; P(Does Not Wear Glasses∩Uses the Internet)=0.15; and 0.12≠0.15.

No, because P(Does Not Wear Glasses)⋅P(Uses the Internet)=0.15⋅0.25=0.0375; P(Does Not Wear Glasses∩Uses the Internet)=0.15; and 0.0375≠0.15.