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Venn Diagrams and independent events help please :)

Would anyone mind helping me with this q?

Here it is: https://hosting.photobucket.com/images/i/imagegold/Bildschirmfoto_2021-02-25_um_21.37.47.png

My working:
I've used A for mobile phones, and B for MP3s.
a) 100 - 85 - 60 -5 = -50
P (A n B) = 50% (not so sure about this)

b) My diagram:
https://hosting.photobucket.com/images/i/imagegold/IMG_2192E40B698A-1.jpeg?

c) 35%

d) P (A n B) = P (A) x P (B), when the events are independent
50% is not equal to 85% x 60%
therefore, the events are not independent - but I'm struggling to believe that...

Thank you.
boosting the thread
Reply 2
Avatar for vc94
vc94
12
(a) 85+60-x=95 by the addition law looks better!
(d) Better to write clearly that 0.85x0.6=0.51 not equal to 0.5, therefore not independent.
So owing (or not) an MP3 player is influenced by owning (or not) a mobile.... makes sense!
Original post by vc94
(a) 85+60-x=95 by the addition law looks better!
(d) Better to write clearly that 0.85x0.6=0.51 not equal to 0.5, therefore not independent.
So owing (or not) an MP3 player is influenced by owning (or not) a mobile.... makes sense!

Thank you!

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